Given the limit to the infinity of sequence $A_n = 0$. Does the series $\Sigma_{n=1}^{\infty} A_n^2$ have to be convergent or divergent? If it is one of them, prove it. If it is either, give an example.
Given the limit to the infinity of sequence $A_n = 0$. Does the series $\Sigma_{n=1}^{\infty} A_n^2$ have to be convergent or divergent? If it is one of them, prove it. If it is either, give an example.