# It is important to distinguish between$\sum_{n=1}^{\infty} n^{o} \quad \text { and } \quad \sum_{n=1}^{\infty} b^{n}$What name is given to the first series? To the second? For what values of $b$ does the first series converge? For what values of $b$ does the second series converge?

Question

It is important to distinguish between
$\sum_{n=1}^{\infty} n^{o} \quad \text { and } \quad \sum_{n=1}^{\infty} b^{n}$
What name is given to the first series? To the second? For what values of $b$ does the first series converge? For what values of $b$ does the second series converge?