Use the nth term test for divergence to determine which, if any, of the following infinite series diverge(s). (10 points) I got D ( OR all of them ), did I do this right?

Question

I. the summation from n equals 1 to infinity of the nth power of the quotient of the quantity n plus 3 and n
II. the summation from n equals 1 to infinity of the product of n and the tangent of pi over n
III. the summation from n equals 1 to infinity of the quotient of the quantity n squared plus 1 and the quantity n squared plus 2

A) I only
B) II only
C) II and III
D) All of them

Answer 1

so, did you do the test?
Clearly not D, since (n+3)/n → 1