Does this serie diverge or converge ? Why ?
$$\sum \frac{\sqrt{n^3}+e^{-n}}{\sqrt{n^5}+\pi}$$
2026-03-27 22:03:50.1774649030
Does this series diverge or converge?
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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 $\sum \frac1n$.