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 10EStep 1:Given series is and To determine the radius of convergence we use ratio test which states: The ratio test states that:a. If then the series convergesb. If then the series divergesc. If or the limit does not exist then the test is inconclusive.Calculating L, we get Series converge, if . Using this we writeSo, the radius of convergence for this power series is R=5.