Sr Examen

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sin2n/2
Suma de la serie/ sin2n/2

Suma de la serie sin2n/2


∑
=

Solución

Ha introducido [src] 
 180          
 ___          
 \  `         
  \   sin(2*n)
   )  --------
  /      2    
 /__,         
n = 0
∑n=0180sin⁡(2n)2\sum_{n=0}^{180} \frac{\sin{\left(2 n \right)}}{2} 
Sum(sin(2*n)/2, (n, 0, 180))
Velocidad de la convergencia de la serie
0.06.00.51.01.52.02.53.03.54.04.55.05.50.5-0.5
Respuesta [src] 
sin(2)   sin(4)   sin(6)   sin(8)   sin(10)   sin(12)   sin(14)   sin(16)   sin(18)   sin(20)   sin(22)   sin(24)   sin(26)   sin(28)   sin(30)   sin(32)   sin(34)   sin(36)   sin(38)   sin(40)   sin(42)   sin(44)   sin(46)   sin(48)   sin(50)   sin(52)   sin(54)   sin(56)   sin(58)   sin(60)   sin(62)   sin(64)   sin(66)   sin(68)   sin(70)   sin(72)   sin(74)   sin(76)   sin(78)   sin(80)   sin(82)   sin(84)   sin(86)   sin(88)   sin(90)   sin(92)   sin(94)   sin(96)   sin(98)   sin(100)   sin(102)   sin(104)   sin(106)   sin(108)   sin(110)   sin(112)   sin(114)   sin(116)   sin(118)   sin(120)   sin(122)   sin(124)   sin(126)   sin(128)   sin(130)   sin(132)   sin(134)   sin(136)   sin(138)   sin(140)   sin(142)   sin(144)   sin(146)   sin(148)   sin(150)   sin(152)   sin(154)   sin(156)   sin(158)   sin(160)   sin(162)   sin(164)   sin(166)   sin(168)   sin(170)   sin(172)   sin(174)   sin(176)   sin(178)   sin(180)   sin(182)   sin(184)   sin(186)   sin(188)   sin(190)   sin(192)   sin(194)   sin(196)   sin(198)   sin(200)   sin(202)   sin(204)   sin(206)   sin(208)   sin(210)   sin(212)   sin(214)   sin(216)   sin(218)   sin(220)   sin(222)   sin(224)   sin(226)   sin(228)   sin(230)   sin(232)   sin(234)   sin(236)   sin(238)   sin(240)   sin(242)   sin(244)   sin(246)   sin(248)   sin(250)   sin(252)   sin(254)   sin(256)   sin(258)   sin(260)   sin(262)   sin(264)   sin(266)   sin(268)   sin(270)   sin(272)   sin(274)   sin(276)   sin(278)   sin(280)   sin(282)   sin(284)   sin(286)   sin(288)   sin(290)   sin(292)   sin(294)   sin(296)   sin(298)   sin(300)   sin(302)   sin(304)   sin(306)   sin(308)   sin(310)   sin(312)   sin(314)   sin(316)   sin(318)   sin(320)   sin(322)   sin(324)   sin(326)   sin(328)   sin(330)   sin(332)   sin(334)   sin(336)   sin(338)   sin(340)   sin(342)   sin(344)   sin(346)   sin(348)   sin(350)   sin(352)   sin(354)   sin(356)   sin(358)   sin(360)
------ + ------ + ------ + ------ + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + --------
  2        2        2        2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2          2
sin⁡(344)2+sin⁡(300)2+sin⁡(256)2+sin⁡(212)2+sin⁡(168)2+sin⁡(124)2+sin⁡(80)2+sin⁡(36)2+sin⁡(30)2+sin⁡(74)2+sin⁡(118)2+sin⁡(162)2+sin⁡(206)2+sin⁡(250)2+sin⁡(294)2+sin⁡(338)2+sin⁡(350)2+sin⁡(306)2+sin⁡(262)2+sin⁡(218)2+sin⁡(174)2+sin⁡(130)2+sin⁡(86)2+sin⁡(42)2+sin⁡(24)2+sin⁡(68)2+sin⁡(112)2+sin⁡(156)2+sin⁡(200)2+sin⁡(244)2+sin⁡(288)2+sin⁡(332)2+sin⁡(356)2+sin⁡(312)2+sin⁡(268)2+sin⁡(224)2+sin⁡(180)2+sin⁡(136)2+sin⁡(92)2+sin⁡(48)2+sin⁡(4)2+sin⁡(18)2+sin⁡(62)2+sin⁡(106)2+sin⁡(150)2+sin⁡(194)2+sin⁡(238)2+sin⁡(282)2+sin⁡(326)2+sin⁡(318)2+sin⁡(274)2+sin⁡(230)2+sin⁡(186)2+sin⁡(142)2+sin⁡(98)2+sin⁡(54)2+sin⁡(10)2+sin⁡(12)2+sin⁡(56)2+sin⁡(100)2+sin⁡(144)2+sin⁡(188)2+sin⁡(232)2+sin⁡(276)2+sin⁡(320)2+sin⁡(324)2+sin⁡(280)2+sin⁡(236)2+sin⁡(192)2+sin⁡(148)2+sin⁡(104)2+sin⁡(60)2+sin⁡(16)2+sin⁡(6)2+sin⁡(50)2+sin⁡(94)2+sin⁡(138)2+sin⁡(182)2+sin⁡(226)2+sin⁡(270)2+sin⁡(314)2+sin⁡(358)2+sin⁡(330)2+sin⁡(286)2+sin⁡(242)2+sin⁡(198)2+sin⁡(154)2+sin⁡(110)2+sin⁡(66)2+sin⁡(22)2+sin⁡(44)2+sin⁡(88)2+sin⁡(132)2+sin⁡(176)2+sin⁡(220)2+sin⁡(264)2+sin⁡(308)2+sin⁡(352)2+sin⁡(336)2+sin⁡(292)2+sin⁡(248)2+sin⁡(204)2+sin⁡(160)2+sin⁡(116)2+sin⁡(72)2+sin⁡(28)2+sin⁡(38)2+sin⁡(82)2+sin⁡(126)2+sin⁡(170)2+sin⁡(214)2+sin⁡(258)2+sin⁡(302)2+sin⁡(346)2+sin⁡(342)2+sin⁡(298)2+sin⁡(254)2+sin⁡(210)2+sin⁡(166)2+sin⁡(122)2+sin⁡(78)2+sin⁡(34)2+sin⁡(32)2+sin⁡(76)2+sin⁡(120)2+sin⁡(164)2+sin⁡(208)2+sin⁡(252)2+sin⁡(296)2+sin⁡(340)2+sin⁡(348)2+sin⁡(304)2+sin⁡(260)2+sin⁡(216)2+sin⁡(172)2+sin⁡(128)2+sin⁡(84)2+sin⁡(40)2+sin⁡(26)2+sin⁡(70)2+sin⁡(114)2+sin⁡(158)2+sin⁡(202)2+sin⁡(246)2+sin⁡(290)2+sin⁡(334)2+sin⁡(354)2+sin⁡(310)2+sin⁡(266)2+sin⁡(222)2+sin⁡(178)2+sin⁡(134)2+sin⁡(90)2+sin⁡(46)2+sin⁡(2)2+sin⁡(20)2+sin⁡(64)2+sin⁡(108)2+sin⁡(152)2+sin⁡(196)2+sin⁡(240)2+sin⁡(284)2+sin⁡(328)2+sin⁡(360)2+sin⁡(316)2+sin⁡(272)2+sin⁡(228)2+sin⁡(184)2+sin⁡(140)2+sin⁡(96)2+sin⁡(52)2+sin⁡(8)2+sin⁡(14)2+sin⁡(58)2+sin⁡(102)2+sin⁡(146)2+sin⁡(190)2+sin⁡(234)2+sin⁡(278)2+sin⁡(322)2\frac{\sin{\left(344 \right)}}{2} + \frac{\sin{\left(300 \right)}}{2} + \frac{\sin{\left(256 \right)}}{2} + \frac{\sin{\left(212 \right)}}{2} + \frac{\sin{\left(168 \right)}}{2} + \frac{\sin{\left(124 \right)}}{2} + \frac{\sin{\left(80 \right)}}{2} + \frac{\sin{\left(36 \right)}}{2} + \frac{\sin{\left(30 \right)}}{2} + \frac{\sin{\left(74 \right)}}{2} + \frac{\sin{\left(118 \right)}}{2} + \frac{\sin{\left(162 \right)}}{2} + \frac{\sin{\left(206 \right)}}{2} + \frac{\sin{\left(250 \right)}}{2} + \frac{\sin{\left(294 \right)}}{2} + \frac{\sin{\left(338 \right)}}{2} + \frac{\sin{\left(350 \right)}}{2} + \frac{\sin{\left(306 \right)}}{2} + \frac{\sin{\left(262 \right)}}{2} + \frac{\sin{\left(218 \right)}}{2} + \frac{\sin{\left(174 \right)}}{2} + \frac{\sin{\left(130 \right)}}{2} + \frac{\sin{\left(86 \right)}}{2} + \frac{\sin{\left(42 \right)}}{2} + \frac{\sin{\left(24 \right)}}{2} + \frac{\sin{\left(68 \right)}}{2} + \frac{\sin{\left(112 \right)}}{2} + \frac{\sin{\left(156 \right)}}{2} + \frac{\sin{\left(200 \right)}}{2} + \frac{\sin{\left(244 \right)}}{2} + \frac{\sin{\left(288 \right)}}{2} + \frac{\sin{\left(332 \right)}}{2} + \frac{\sin{\left(356 \right)}}{2} + \frac{\sin{\left(312 \right)}}{2} + \frac{\sin{\left(268 \right)}}{2} + \frac{\sin{\left(224 \right)}}{2} + \frac{\sin{\left(180 \right)}}{2} + \frac{\sin{\left(136 \right)}}{2} + \frac{\sin{\left(92 \right)}}{2} + \frac{\sin{\left(48 \right)}}{2} + \frac{\sin{\left(4 \right)}}{2} + \frac{\sin{\left(18 \right)}}{2} + \frac{\sin{\left(62 \right)}}{2} + \frac{\sin{\left(106 \right)}}{2} + \frac{\sin{\left(150 \right)}}{2} + \frac{\sin{\left(194 \right)}}{2} + \frac{\sin{\left(238 \right)}}{2} + \frac{\sin{\left(282 \right)}}{2} + \frac{\sin{\left(326 \right)}}{2} + \frac{\sin{\left(318 \right)}}{2} + \frac{\sin{\left(274 \right)}}{2} + \frac{\sin{\left(230 \right)}}{2} + \frac{\sin{\left(186 \right)}}{2} + \frac{\sin{\left(142 \right)}}{2} + \frac{\sin{\left(98 \right)}}{2} + \frac{\sin{\left(54 \right)}}{2} + \frac{\sin{\left(10 \right)}}{2} + \frac{\sin{\left(12 \right)}}{2} + \frac{\sin{\left(56 \right)}}{2} + \frac{\sin{\left(100 \right)}}{2} + \frac{\sin{\left(144 \right)}}{2} + \frac{\sin{\left(188 \right)}}{2} + \frac{\sin{\left(232 \right)}}{2} + \frac{\sin{\left(276 \right)}}{2} + \frac{\sin{\left(320 \right)}}{2} + \frac{\sin{\left(324 \right)}}{2} + \frac{\sin{\left(280 \right)}}{2} + \frac{\sin{\left(236 \right)}}{2} + \frac{\sin{\left(192 \right)}}{2} + \frac{\sin{\left(148 \right)}}{2} + \frac{\sin{\left(104 \right)}}{2} + \frac{\sin{\left(60 \right)}}{2} + \frac{\sin{\left(16 \right)}}{2} + \frac{\sin{\left(6 \right)}}{2} + \frac{\sin{\left(50 \right)}}{2} + \frac{\sin{\left(94 \right)}}{2} + \frac{\sin{\left(138 \right)}}{2} + \frac{\sin{\left(182 \right)}}{2} + \frac{\sin{\left(226 \right)}}{2} + \frac{\sin{\left(270 \right)}}{2} + \frac{\sin{\left(314 \right)}}{2} + \frac{\sin{\left(358 \right)}}{2} + \frac{\sin{\left(330 \right)}}{2} + \frac{\sin{\left(286 \right)}}{2} + \frac{\sin{\left(242 \right)}}{2} + \frac{\sin{\left(198 \right)}}{2} + \frac{\sin{\left(154 \right)}}{2} + \frac{\sin{\left(110 \right)}}{2} + \frac{\sin{\left(66 \right)}}{2} + \frac{\sin{\left(22 \right)}}{2} + \frac{\sin{\left(44 \right)}}{2} + \frac{\sin{\left(88 \right)}}{2} + \frac{\sin{\left(132 \right)}}{2} + \frac{\sin{\left(176 \right)}}{2} + \frac{\sin{\left(220 \right)}}{2} + \frac{\sin{\left(264 \right)}}{2} + \frac{\sin{\left(308 \right)}}{2} + \frac{\sin{\left(352 \right)}}{2} + \frac{\sin{\left(336 \right)}}{2} + \frac{\sin{\left(292 \right)}}{2} + \frac{\sin{\left(248 \right)}}{2} + \frac{\sin{\left(204 \right)}}{2} + \frac{\sin{\left(160 \right)}}{2} + \frac{\sin{\left(116 \right)}}{2} + \frac{\sin{\left(72 \right)}}{2} + \frac{\sin{\left(28 \right)}}{2} + \frac{\sin{\left(38 \right)}}{2} + \frac{\sin{\left(82 \right)}}{2} + \frac{\sin{\left(126 \right)}}{2} + \frac{\sin{\left(170 \right)}}{2} + \frac{\sin{\left(214 \right)}}{2} + \frac{\sin{\left(258 \right)}}{2} + \frac{\sin{\left(302 \right)}}{2} + \frac{\sin{\left(346 \right)}}{2} + \frac{\sin{\left(342 \right)}}{2} + \frac{\sin{\left(298 \right)}}{2} + \frac{\sin{\left(254 \right)}}{2} + \frac{\sin{\left(210 \right)}}{2} + \frac{\sin{\left(166 \right)}}{2} + \frac{\sin{\left(122 \right)}}{2} + \frac{\sin{\left(78 \right)}}{2} + \frac{\sin{\left(34 \right)}}{2} + \frac{\sin{\left(32 \right)}}{2} + \frac{\sin{\left(76 \right)}}{2} + \frac{\sin{\left(120 \right)}}{2} + \frac{\sin{\left(164 \right)}}{2} + \frac{\sin{\left(208 \right)}}{2} + \frac{\sin{\left(252 \right)}}{2} + \frac{\sin{\left(296 \right)}}{2} + \frac{\sin{\left(340 \right)}}{2} + \frac{\sin{\left(348 \right)}}{2} + \frac{\sin{\left(304 \right)}}{2} + \frac{\sin{\left(260 \right)}}{2} + \frac{\sin{\left(216 \right)}}{2} + \frac{\sin{\left(172 \right)}}{2} + \frac{\sin{\left(128 \right)}}{2} + \frac{\sin{\left(84 \right)}}{2} + \frac{\sin{\left(40 \right)}}{2} + \frac{\sin{\left(26 \right)}}{2} + \frac{\sin{\left(70 \right)}}{2} + \frac{\sin{\left(114 \right)}}{2} + \frac{\sin{\left(158 \right)}}{2} + \frac{\sin{\left(202 \right)}}{2} + \frac{\sin{\left(246 \right)}}{2} + \frac{\sin{\left(290 \right)}}{2} + \frac{\sin{\left(334 \right)}}{2} + \frac{\sin{\left(354 \right)}}{2} + \frac{\sin{\left(310 \right)}}{2} + \frac{\sin{\left(266 \right)}}{2} + \frac{\sin{\left(222 \right)}}{2} + \frac{\sin{\left(178 \right)}}{2} + \frac{\sin{\left(134 \right)}}{2} + \frac{\sin{\left(90 \right)}}{2} + \frac{\sin{\left(46 \right)}}{2} + \frac{\sin{\left(2 \right)}}{2} + \frac{\sin{\left(20 \right)}}{2} + \frac{\sin{\left(64 \right)}}{2} + \frac{\sin{\left(108 \right)}}{2} + \frac{\sin{\left(152 \right)}}{2} + \frac{\sin{\left(196 \right)}}{2} + \frac{\sin{\left(240 \right)}}{2} + \frac{\sin{\left(284 \right)}}{2} + \frac{\sin{\left(328 \right)}}{2} + \frac{\sin{\left(360 \right)}}{2} + \frac{\sin{\left(316 \right)}}{2} + \frac{\sin{\left(272 \right)}}{2} + \frac{\sin{\left(228 \right)}}{2} + \frac{\sin{\left(184 \right)}}{2} + \frac{\sin{\left(140 \right)}}{2} + \frac{\sin{\left(96 \right)}}{2} + \frac{\sin{\left(52 \right)}}{2} + \frac{\sin{\left(8 \right)}}{2} + \frac{\sin{\left(14 \right)}}{2} + \frac{\sin{\left(58 \right)}}{2} + \frac{\sin{\left(102 \right)}}{2} + \frac{\sin{\left(146 \right)}}{2} + \frac{\sin{\left(190 \right)}}{2} + \frac{\sin{\left(234 \right)}}{2} + \frac{\sin{\left(278 \right)}}{2} + \frac{\sin{\left(322 \right)}}{2} 
sin(2)/2 + sin(4)/2 + sin(6)/2 + sin(8)/2 + sin(10)/2 + sin(12)/2 + sin(14)/2 + sin(16)/2 + sin(18)/2 + sin(20)/2 + sin(22)/2 + sin(24)/2 + sin(26)/2 + sin(28)/2 + sin(30)/2 + sin(32)/2 + sin(34)/2 + sin(36)/2 + sin(38)/2 + sin(40)/2 + sin(42)/2 + sin(44)/2 + sin(46)/2 + sin(48)/2 + sin(50)/2 + sin(52)/2 + sin(54)/2 + sin(56)/2 + sin(58)/2 + sin(60)/2 + sin(62)/2 + sin(64)/2 + sin(66)/2 + sin(68)/2 + sin(70)/2 + sin(72)/2 + sin(74)/2 + sin(76)/2 + sin(78)/2 + sin(80)/2 + sin(82)/2 + sin(84)/2 + sin(86)/2 + sin(88)/2 + sin(90)/2 + sin(92)/2 + sin(94)/2 + sin(96)/2 + sin(98)/2 + sin(100)/2 + sin(102)/2 + sin(104)/2 + sin(106)/2 + sin(108)/2 + sin(110)/2 + sin(112)/2 + sin(114)/2 + sin(116)/2 + sin(118)/2 + sin(120)/2 + sin(122)/2 + sin(124)/2 + sin(126)/2 + sin(128)/2 + sin(130)/2 + sin(132)/2 + sin(134)/2 + sin(136)/2 + sin(138)/2 + sin(140)/2 + sin(142)/2 + sin(144)/2 + sin(146)/2 + sin(148)/2 + sin(150)/2 + sin(152)/2 + sin(154)/2 + sin(156)/2 + sin(158)/2 + sin(160)/2 + sin(162)/2 + sin(164)/2 + sin(166)/2 + sin(168)/2 + sin(170)/2 + sin(172)/2 + sin(174)/2 + sin(176)/2 + sin(178)/2 + sin(180)/2 + sin(182)/2 + sin(184)/2 + sin(186)/2 + sin(188)/2 + sin(190)/2 + sin(192)/2 + sin(194)/2 + sin(196)/2 + sin(198)/2 + sin(200)/2 + sin(202)/2 + sin(204)/2 + sin(206)/2 + sin(208)/2 + sin(210)/2 + sin(212)/2 + sin(214)/2 + sin(216)/2 + sin(218)/2 + sin(220)/2 + sin(222)/2 + sin(224)/2 + sin(226)/2 + sin(228)/2 + sin(230)/2 + sin(232)/2 + sin(234)/2 + sin(236)/2 + sin(238)/2 + sin(240)/2 + sin(242)/2 + sin(244)/2 + sin(246)/2 + sin(248)/2 + sin(250)/2 + sin(252)/2 + sin(254)/2 + sin(256)/2 + sin(258)/2 + sin(260)/2 + sin(262)/2 + sin(264)/2 + sin(266)/2 + sin(268)/2 + sin(270)/2 + sin(272)/2 + sin(274)/2 + sin(276)/2 + sin(278)/2 + sin(280)/2 + sin(282)/2 + sin(284)/2 + sin(286)/2 + sin(288)/2 + sin(290)/2 + sin(292)/2 + sin(294)/2 + sin(296)/2 + sin(298)/2 + sin(300)/2 + sin(302)/2 + sin(304)/2 + sin(306)/2 + sin(308)/2 + sin(310)/2 + sin(312)/2 + sin(314)/2 + sin(316)/2 + sin(318)/2 + sin(320)/2 + sin(322)/2 + sin(324)/2 + sin(326)/2 + sin(328)/2 + sin(330)/2 + sin(332)/2 + sin(334)/2 + sin(336)/2 + sin(338)/2 + sin(340)/2 + sin(342)/2 + sin(344)/2 + sin(346)/2 + sin(348)/2 + sin(350)/2 + sin(352)/2 + sin(354)/2 + sin(356)/2 + sin(358)/2 + sin(360)/2
Respuesta numérica [src] 
0.445791073599621770319221372075
0.445791073599621770319221372075
Gráfico
Suma de la serie sin2n/2

    Ejemplos de hallazgo de la suma de la serie

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