Using the integral test, how do you show whether sum 1 / [sqrt(n) * (sqrt(n) + 1)]∑1√n⋅(√n+1) diverges or converges from n=1 to infinity?
1 Answer
Jun 13, 2016
The sum is unbounded
Explanation:
We know
because
but
so the sum is unbounded
Attached a figure with the comparisson between series and integral.