2. Apply suitable series tests to identify which of the following series is convergent and which is divergent.\ a) $\sum_{0}^{\infty} \frac{2n+1}{5^n}$ \ b) $\sum_{1}^{\infty} \frac{n^2}{e^n}$ \ c) $\sum_{0}^{\infty} \frac{5^n}{4n+3}$ \ d) $\sum_{1}^{\infty} \frac{ln(n)}{\sqrt{n}e^n}$ \ e) $\sum_{1}^{\infty} \frac{sin^2(n)}{2^n}$
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