Question Number 4939 by Yozzii last updated on 24/Mar/16
$$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\left(−\mathrm{1}\right)^{{k}+\mathrm{1}} {k}^{\mathrm{2}} }{{k}^{\mathrm{3}} +\mathrm{1}}\right)=? \\ $$
Commented by prakash jain last updated on 24/Mar/16
$$\mathrm{I}\:\mathrm{think}\:\mathrm{ratio}\:\mathrm{test}\:\mathrm{will}\:\mathrm{show}\:\mathrm{cnvergence}. \\ $$