Problem 19E

Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.

Solution 19E

Step 1:

In this problem we have to determine the radius of convergence of the power series.

Use Root test to determine the radius of convergence.

If and

- If L<1, converges.
- If L>1, diverges.
- If L=1, the test is inconclusive.