Given are two infinite series
$\qquad P: \sum \frac{n^{2}+1}{n^{2}}$
$\qquad Q: \sum\left(1+\frac{1}{n}\right)^{-n}$
The correct choice is
- $\text{P}$ is convergent series; $\text{Q}$ is divergent series
- $\text{P}$ is divergent series; $\text{Q}$ is convergent series
- Both $\text{P}$ and $\mathrm{Q}$ are convergent series
- Both $\text{P}$ and $\text{Q}$ are divergent series