Ratio test and root test

Use the ratio or root test to determine if the series converges or diverges. 1) a) _ 5n n! b) _ ne An On c) E Inn 3n3+2n n=1 2n + 7 d) _ n=1 n=1 n=1 An3 + 1 n4 oo E E (2n)! 8) > (n!)n 4n h ) 1 n n=1 7 n! E 1 n=1 n-1 (nn)3 n4 n10 n=1 n oo i) E 2nn2 (In n + 8)n j) E n k) > nern 1) E Do n=1 (5n1 - 1)n n! m) E en n=1 n! n=1 n=1