These problems are in the alternating series section of my calc book but they are not necessarily alternating. How would you figure out if they converge, converge absolutely or diverge and what test would you use?

problem 1

n=1 to infinity

a(sub)1=5 a(sub)n+1= ((n to the nth root)/2) a(sub)n

problem 2

n=1 to inifinity (-1)^n+1 (ln n/n)