Find the power series representation for g centered at 0 by differentiating or integrating the power series for f. give the interval of convergence for the resulting series. g(x)equals startfraction 20 over (1 minus 20 x )squared endfraction, f(x)equals startfraction 1 over 1 minus 20 x endfraction the power series representation for g is summation from k equals 1 to infinity (nothing ). find the interval of convergence. select the correct choice below and fill in the answer box to complete your choice.