I have accrossed this sum :$\sum_{n=1}^{\infty} \frac{(-1)^{n+1}n^2}{n^3+1}$ in my textbook , However i have tried to evaluate it using Frobenius method and also the standard sum $\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n}=\log 2$ , But i didn't suceeded to get the same closed form which it assumed by Wolfram alpha here using hyperbolic function, then any way for evaluation ?
Asked
Active
Viewed 80 times
