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cos(exp^(0,1*i)+i)

Suma de la serie cos(exp^(0,1*i)+i)



=

Solución

Ha introducido [src]
  20              
____              
\   `             
 \       / i     \
  \      | --    |
  /      | 10    |
 /    cos\E   + i/
/___,             
i = 1             
$$\sum_{i=1}^{20} \cos{\left(i + e^{\frac{i}{10}} \right)}$$
Sum(cos(E^(i/10) + i), (i, 1, 20))
Velocidad de la convergencia de la serie
Respuesta [src]
                                                                                                                                                                     /      11\                       /      13\                                                         /      17\                       /      19\               
                                                                                                                                                                     |      --|                       |      --|                                                         |      --|                       |      --|               
   /     1/10\      /     1/5\      /     3/10\      /     2/5\      /     1/2\      /     3/5\      /     7/10\      /     4/5\      /     9/10\                    |      10|      /      6/5\      |      10|      /      7/5\      /      3/2\      /      8/5\      |      10|      /      9/5\      |      10|      /      2\
cos\1 + e    / + cos\2 + e   / + cos\3 + e    / + cos\4 + e   / + cos\5 + e   / + cos\6 + e   / + cos\7 + e    / + cos\8 + e   / + cos\9 + e    / + cos(10 + E) + cos\11 + e  / + cos\12 + e   / + cos\13 + e  / + cos\14 + e   / + cos\15 + e   / + cos\16 + e   / + cos\17 + e  / + cos\18 + e   / + cos\19 + e  / + cos\20 + e /
$$\cos{\left(e^{\frac{1}{5}} + 2 \right)} + \cos{\left(e^{\frac{6}{5}} + 12 \right)} + \cos{\left(e^{\frac{7}{10}} + 7 \right)} + \cos{\left(e^{\frac{17}{10}} + 17 \right)} + \cos{\left(e^{\frac{4}{5}} + 8 \right)} + \cos{\left(e^{2} + 20 \right)} + \cos{\left(e^{\frac{13}{10}} + 13 \right)} + \cos{\left(1 + e^{\frac{1}{10}} \right)} + \cos{\left(e^{\frac{8}{5}} + 16 \right)} + \cos{\left(e^{\frac{3}{10}} + 3 \right)} + \cos{\left(e^{\frac{3}{5}} + 6 \right)} + \cos{\left(e^{\frac{11}{10}} + 11 \right)} + \cos{\left(e^{\frac{9}{10}} + 9 \right)} + \cos{\left(e^{\frac{9}{5}} + 18 \right)} + \cos{\left(e^{\frac{7}{5}} + 14 \right)} + \cos{\left(e^{\frac{2}{5}} + 4 \right)} + \cos{\left(e^{\frac{3}{2}} + 15 \right)} + \cos{\left(e^{\frac{19}{10}} + 19 \right)} + \cos{\left(e^{\frac{1}{2}} + 5 \right)} + \cos{\left(e + 10 \right)}$$
cos(1 + exp(1/10)) + cos(2 + exp(1/5)) + cos(3 + exp(3/10)) + cos(4 + exp(2/5)) + cos(5 + exp(1/2)) + cos(6 + exp(3/5)) + cos(7 + exp(7/10)) + cos(8 + exp(4/5)) + cos(9 + exp(9/10)) + cos(10 + E) + cos(11 + exp(11/10)) + cos(12 + exp(6/5)) + cos(13 + exp(13/10)) + cos(14 + exp(7/5)) + cos(15 + exp(3/2)) + cos(16 + exp(8/5)) + cos(17 + exp(17/10)) + cos(18 + exp(9/5)) + cos(19 + exp(19/10)) + cos(20 + exp(2))
Respuesta numérica [src]
-0.934103846933244822668729969527
-0.934103846933244822668729969527
Gráfico
Suma de la serie cos(exp^(0,1*i)+i)

    Ejemplos de hallazgo de la suma de la serie