Consider the series $ ∑_{n=1}^∞ x^2+ n/n^2$ . Pick out the true statements:
Hint: $$\sum_{n=1}^\infty\frac{1}{n}=\sum_{n=1}^\infty\frac{n}{n^2}\leq\sum_{n=1}^\infty x^2+\frac{n}{n^2}.$$
If you inadvertently meant $(x^2+n)/n^2$, then $$\sum_{n=1}^\infty\frac{1}{n}=\sum_{n=1}^\infty\frac{n}{n^2}\leq\sum_{n=1}^\infty\frac{x^2+n}{n^2}.$$