Question

State whether the sequence the set of terms with general term, the quotient of the sin of n and the square root of n converges or diverges, and if it converges, give its limit. (10 points)

A) Diverges
B) Converges to 1 and −1, depending on the value of the numerator
C) Converges to 1
D) Converges to 0

Answer 1

sin(n) / √n clearly approaches zero, since |sin(n)| <= 1 and √n→∞

Answer 2

I got diverges. Is this right? Please respond as soon as possible.