I would like to have a bound on the on the following sum which for me will do but am not able to prove it. Can someone help please?
Is it true: $\displaystyle \forall m>1$, we have
$\displaystyle \sum_{n>m}\frac{1}{n^2}<\frac{1}{m-1}$?
I would like to have a bound on the on the following sum which for me will do but am not able to prove it. Can someone help please?
Is it true: $\displaystyle \forall m>1$, we have
$\displaystyle \sum_{n>m}\frac{1}{n^2}<\frac{1}{m-1}$?