Posted by **BAE** on Monday, April 14, 2014 at 2:55pm.

In the following series x is a real number. In each case, use the ratio test to determine the radius of convergence of the series. Analyze the behavior at the endpoints in order to determine the interval of convergence.

a. Summation n=0 to infinity (n(x^n))/(n^2 + 2)

b. Summation n=1 to infinity [(n^2)(x-2)^n]/(2^n)

c. Summation n=1 to infinity [(4^n)(x^n)]/(n^2)