How to determine whether the infinite series converges?
#sum_(x=0)^oo 1/(x*ln(x))^2#
1 Answer
Mar 27, 2018
Converges by the Comparison Test.
Explanation:
First, I am going to assume the series does not start at zero, as zero is not in the domain of the sequence. Moreover,
We'll let
Now, we know
So, since the larger series