Mathematics

Problem

For which of the following series does the limit of the general term equal

0

, making the divergence test inconclusive? a)

\displaystyle \sum_{n=1}^{\infty}\frac{n}{n+2}

\displaystyle \sum_{n=1}^{\infty}\frac{\ln n}{n}

\displaystyle \sum_{n=1}^{\infty}\frac{3^{n}}{2^{n}}

\displaystyle \sum_{n=1}^{\infty}\frac{1+(-1)^n}{2}