$\"\"$

Statement: If the series is $\"\"$ is converges in the interval $\"\"$ then the series $\"\"$ is convergence in the interval $\"\"$ .

The series is $\"\"$ .

The radius of the convergence is $\"\"$ .

The series $\"\"$ is centered around $\"\"$ , so its interval of convergence is $\"\"$ .

Therefore, the statement is true.

$\"\"$

The statement is true.