Question

Which one of the following series is convergent?
A. the summation from n equals 1 to infinity of 1 over the quantity n squared
B. the summation from n equals 1 to infinity of 1 over n raised the the one fourth power
C. the summation from n equals 1 to infinity of 1 over n raised to the negative one half power
D. the summation from n equals 1 to infinity of n squared plus 1 over n

Answer 1

lets gooo

Answer 2

sum 1/n^k converges for k>1
so, A

D = sum(n + 1/n), so both terms diverge.