Power series and convergence
Here we explore power series of the form . (If is not defined at then the summation might have a different starting point.) We get a sense of what the graph of the power series looks like by examining partial sums . For a certain interval of -values, the partial sums will converge; check the box by "Show radius of convergence" to see this interval.
If the polynomial approximation for the power series flows off the screen, you can drag it to see more terms.
Developed for use with Thomas' Calculus, published by Pearson.