![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
(a)
\The radius of convergence is the distance between the end points of the radius of convergence and its center.
\The radius of convergence is adding the absolute values of both end points together and dividing by two.
\![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
(b)
\The value of ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8da2268e35b6b6daab9c47f71c4c8bf4.png\")
for which a series converges is called its interval of convergence.
The interval of convergence, however, may differ as a result of the behavior at the end points.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
(a)
\The radius of convergence is the distance between the end points of the radius of convergence and its center.
\The radius of convergence is adding the absolute values of both end points together and dividing by two.
\(b)
\The value of for which a series converges is called its interval of convergence.
The interval of convergence, however, may differ as a result of the behavior at the end points.