Determine convergence / divergence of .
I attempted the integral test but on the interval it is increasing and decreasing on . So the integral test in only applicable for the decreasing part. + the integral computation seems to lead to 3 pages of steps...
I believe the comparison test would be the most reasonable test, graphically I observed that behaves like when n is large.
; but, since inconclusive for divergence/convergence.
I attempted the limit comparison, and ratio test, but inconclusive. I am uncertain if I am doing them properly.
How could I bound below to proceed with the comparison test? Is there a more appropriate method? How would you proceed?