$\"\"$

The function is $\"\"$ and centered at $\"\"$ .

Rewrite the equations.

$\"\"$

Find the geometric power series of the function.

The series $\"\"$ is in the form of geometric series.

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

Substitute $\"\"$ and $\"\"$ .

$\"\"$ .

$\"\"$

The series is converges when $\"\"$ .

$\"\"$

$\"\"$ .

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

$\"\"$

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