Question

What tests are used to determine the radius of convergence of a power series? A. Divergence TestB. Root Test C. Comparison Test D. Ratio Test E. Integral Test F. Alternating Series Test G. Limit Comparison Test

Answer 1

The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.