Does this series diverge or converge? Does this serie diverge or converge ? Why ? $$\sum \frac{\sqrt{n^3}+e^{-n}}{\sqrt{n^5}+\pi}$$

**HINT**

The key fact is that

$$ \frac{\sqrt{n^3}+e^{-n}}{\sqrt{n^5}+\pi}\sim \frac1n$$

then refer to limit comparison test with $\sum \frac1n$.