2.10.117 Number Series

Condition: explore the ranks 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}} \)