(Geometric series)
Determine, by any means, the convergence or divergence of the geometric series for the points at the ends of the interval of convergence,x =±1. NOTE: The formula (5.2) is quite striking because it reducessn(x)to theclosed form(1−lxn)/(1−x),direct examination of which gives not only the interval of convergence but also the sum function1/(1−x). It is rare that one can reduce sn(x) to closed form.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.