Using the integral test, how do you show whether #sum ln(n)/(n)^2# diverges or converges from n=1 to infinity?
1 Answer
Oct 24, 2015
See the explanation.
Explanation:
I assume that the difficulty is in integrating
Use parts:
So we get
# = -lnx/x - 1/x = -(lnx+1)/x#
Or perhaps the difficulty is in evaluating
Use l'Hopital's Rule to get