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log(n+2)/(cos(n)+1)

Suma de la serie log(n+2)/(cos(n)+1)



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Solución

Ha introducido [src]
  25            
 ___            
 \  `           
  \   log(n + 2)
   )  ----------
  /   cos(n) + 1
 /__,           
n = 1           
$$\sum_{n=1}^{25} \frac{\log{\left(n + 2 \right)}}{\cos{\left(n \right)} + 1}$$
Sum(log(n + 2)/(cos(n) + 1), (n, 1, 25))
Velocidad de la convergencia de la serie
Respuesta [src]
  log(3)       log(4)       log(5)       log(6)       log(7)       log(8)       log(9)      log(10)      log(11)       log(12)       log(13)       log(14)       log(15)       log(16)       log(17)       log(18)       log(19)       log(20)       log(21)       log(22)       log(23)       log(24)       log(25)       log(26)       log(27)  
---------- + ---------- + ---------- + ---------- + ---------- + ---------- + ---------- + ---------- + ---------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + -----------
1 + cos(1)   1 + cos(2)   1 + cos(3)   1 + cos(4)   1 + cos(5)   1 + cos(6)   1 + cos(7)   1 + cos(8)   1 + cos(9)   1 + cos(10)   1 + cos(11)   1 + cos(12)   1 + cos(13)   1 + cos(14)   1 + cos(15)   1 + cos(16)   1 + cos(17)   1 + cos(18)   1 + cos(19)   1 + cos(20)   1 + cos(21)   1 + cos(22)   1 + cos(23)   1 + cos(24)   1 + cos(25)
$$\frac{\log{\left(3 \right)}}{\cos{\left(1 \right)} + 1} + \frac{\log{\left(8 \right)}}{\cos{\left(6 \right)} + 1} + \frac{\log{\left(9 \right)}}{\cos{\left(7 \right)} + 1} + \frac{\log{\left(15 \right)}}{\cos{\left(13 \right)} + 1} + \frac{\log{\left(14 \right)}}{\cos{\left(12 \right)} + 1} + \frac{\log{\left(7 \right)}}{\cos{\left(5 \right)} + 1} + \frac{\log{\left(21 \right)}}{\cos{\left(19 \right)} + 1} + \frac{\log{\left(27 \right)}}{\cos{\left(25 \right)} + 1} + \frac{\log{\left(20 \right)}}{\cos{\left(18 \right)} + 1} + \frac{\log{\left(22 \right)}}{\cos{\left(20 \right)} + 1} + \frac{\log{\left(26 \right)}}{\cos{\left(24 \right)} + 1} + \frac{\log{\left(4 \right)}}{\cos{\left(2 \right)} + 1} + \frac{\log{\left(16 \right)}}{\cos{\left(14 \right)} + 1} + \frac{\log{\left(13 \right)}}{\cos{\left(11 \right)} + 1} + \frac{\log{\left(10 \right)}}{\cos{\left(8 \right)} + 1} + \frac{\log{\left(19 \right)}}{\cos{\left(17 \right)} + 1} + \frac{\log{\left(6 \right)}}{\cos{\left(4 \right)} + 1} + \frac{\log{\left(25 \right)}}{\cos{\left(23 \right)} + 1} + \frac{\log{\left(23 \right)}}{\cos{\left(21 \right)} + 1} + \frac{\log{\left(17 \right)}}{\cos{\left(15 \right)} + 1} + \frac{\log{\left(12 \right)}}{\cos{\left(10 \right)} + 1} + \frac{\log{\left(11 \right)}}{\cos{\left(9 \right)} + 1} + \frac{\log{\left(18 \right)}}{\cos{\left(16 \right)} + 1} + \frac{\log{\left(5 \right)}}{\cos{\left(3 \right)} + 1} + \frac{\log{\left(24 \right)}}{\cos{\left(22 \right)} + 1}$$
log(3)/(1 + cos(1)) + log(4)/(1 + cos(2)) + log(5)/(1 + cos(3)) + log(6)/(1 + cos(4)) + log(7)/(1 + cos(5)) + log(8)/(1 + cos(6)) + log(9)/(1 + cos(7)) + log(10)/(1 + cos(8)) + log(11)/(1 + cos(9)) + log(12)/(1 + cos(10)) + log(13)/(1 + cos(11)) + log(14)/(1 + cos(12)) + log(15)/(1 + cos(13)) + log(16)/(1 + cos(14)) + log(17)/(1 + cos(15)) + log(18)/(1 + cos(16)) + log(19)/(1 + cos(17)) + log(20)/(1 + cos(18)) + log(21)/(1 + cos(19)) + log(22)/(1 + cos(20)) + log(23)/(1 + cos(21)) + log(24)/(1 + cos(22)) + log(25)/(1 + cos(23)) + log(26)/(1 + cos(24)) + log(27)/(1 + cos(25))
Respuesta numérica [src]
81460.7157145103232278348016381
81460.7157145103232278348016381
Gráfico
Suma de la serie log(n+2)/(cos(n)+1)

    Ejemplos de hallazgo de la suma de la serie