Mae Danerror writes out the first few terms of the series n! M : = 1 + 0.01x + 0.0002x2 + 0.000006x3 + . . . n-0 100m She figures that since the coefficients are getting small so fast, the series is bound to converge, at least if she picks a value of x such as 0.7, which is less than 1. Show Mae that she is wrong, and that the series converges only for the trivial case, x = 0