1. Study the convergence of the following series by specifying the criterion used.

a)k=13kk4

b)n=1(3n)2n(3n+2)n

c)n=1n2+n1

d)i=1(3i2)!3i2

2. Study the convergence (absolute or conditional) of the alternating series:

n=1(1n)(5n36n2)