How do you use the integral test to determine if #1/4+2/7+3/12+...+n/(n^2+3)+...# is convergent or divergent?
1 Answer
Dec 12, 2016
The series
Explanation:
The integral tests states that a necessary and sufficient condition for:
to converge is that the integral:
is convergent, where
If we pose:
we can calculate:
This integral is not convergent, and therefore the series is divergent.