2.10.117 Number series

Condition: Examine the series for convergence: 1) \( \sum_{n=1}^{\infty}\left(\frac{12 n^{2}+5}{36 n^{2}-1}\right)^{2} \), 2) \( \sum_{n=1}^{\infty} \frac{1}{5 n^{2}+8} \) 3) \( \sum_{n=1}^{\infty} \frac{e^{-\sqrt{2 n-1}}}{\sqrt{2 n-1}}\)