Does ∑ 1/n converge? What about ∑ 1/n^p?

Does ∑ 1/n converge? What about ∑ 1/n^p?

A ∑ 1/n diverges; ∑ 1/n^p converges iff p > 1

B Both converge for all p > 0

C Both diverge for all p

D ∑ 1/n converges; ∑ 1/n^p diverges if p > 1

Solution

Correct Answer: Option A