Question

the series whos nth term is sin (1/n) is​

Answer 1

Answer:

Since −1≤sin(1/n)≤1

and

limn→∞−1 ≠ limn→∞1

can I use the nth-term test to prove that the series will diverge?

I've only seen the problem done using the limit comparison test and am not sure if I can use the nth-term test.