$\"\"$

The series is $\"\"$ , $\"\"$

The series is in the form of geometric series.

The general form of geometric series is $\"\"$ .

The geometric series is converges if and only if the value of $\"\"$ .

Compare the series with general form.

Here, $\"\"$ .

The series is converges $\"\"$ .

$\"\"$

$\"\"$ .

Therefore, the series is converges in the interval $\"\"$ . $\"\"$

The series is converges in the interval $\"\"$ .