Integral Test :
\If is positive, continuous and decreasing for
and
then
and
either both converge or both diverge.
The integral series is .
Let the function be .
Find the derivative of the function.
\.
is positive, continuous and decreasing for
.
satisfies the conditions of Integral Test.
Integral Test is applicable for the series.
\Integral Test:
\Consider .
\
Apply formula : .
Therefore, the series is converges.
\
The series is converges.