Which of the following series converge?
I. ∑ k=1 to [infinity] [1/k²+1]
II. ∑k=1 to [infinity] [k/k²+1]
III. ∑k=1 to [infinity] [k²/k²+1]

(A) None
(B) I only
(C) I and II only
(D) I, II, and III