If and
.
The integral expression is .
Consider the fact that is greater than
, since denominator is small in the first expression.
Consider .
Since then
and it is some negative number.
Let .
which results a finite number, therefore
is convergent.
From the comparison theorem:
\Suppose and
are continuous functions with
and
If is convergent then
is also convergent.
Therefore, if then
is also convergent.
is convergent.