The kth term is x^k/(k!)
lim(ck+1)/ck =
lim|x^(k+1)*k!/[(x^k*(k+1)!]|= |x| lim1/(k+1) < 1
|x|< lim(k+1) = infinity
So the radius of convergence is inf and the IC (-inf,inf)
Hey guys..I was revising and stumbled onto this question which the lecturer talked about..but I cant seem to get to how he got the Radius of convergence...heres the question..
Find the Taylor series for f(x)=e^x about x=1..from this use the ratio test to find the radius of convergency...
could someone please show me how this is done..Thanks..