Convergence Test (NOT a test question)

Question

Use the integral test to determine if the series  is convergent or divergent. Make sure that you set up the problem correctly and use the proper notation.

I got this series converge to 1, please check my answer, thank you in advance!

Answer 1

Since you did not show your work, I cannot comment on your answer.

The integral does converge (integrate by parts) so that the series also converges, but I do not know to what value the series converges.