MAT136H1 Lecture : 11.8 Power Series Overview
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Where "s are coefficients and is a variable. Power series: overview looks like polynomial, except with infinite terms. 3 possibilities: series convergent only when, series convergent for all, there exist a positive number so that convergent if | | and divergent if | | The value for which makes the series convergent. Whether should be does not matter, as the word radius indicates only the range in either direction. But as for the end points of the radius, anything can happen, so they need to be tested. Then the final result becomes the interval of convergence. To determine the specific interval for the possible values of x for the power series convergence, take the result about the radius of convergence and test the end values for the specific interval of convergence.
