please help

1. Determine if the following series converge or diverge, and if possible determine the value of the converging series, (a) (10 points) ($9.2 #28) E n(n + 1) n=1 (n + 2) (n + 3) HINT: you can use the n-th term test for divergence. on7 (b) (10 points) ($9.2 #68) The n=0 HINT: this is a geometric series. 1 (c) (10 points) ($9.3 #32) > n=1 in (1 + In'n) HINTS: you can use the integral test, lim tan 1 x = y 3 2 f (x ) = ( 1+in'x) 2 3 00 (d) (10 points) ($9.4 #14) E (2n + 3 ) 5n + 4 n= HINT: you can use the limit comparison test. 4n (e) (10 points) ($9.5 #10) (3n)n n=1