let f be the function f(x) = e^(2x^2)

Question

find the first four nonzero terms and the general term of the power series for f(x) about x = 0

i tried doing this problem but finding the derivatives gets way too complicated
can anyone help??

Answer 1

HuH?

THe power series is

e^u= Σx^u/n! from n=1 to inf

So put in u (2x^2) and compute for n=1, ...4.

Answer 2

so ik this 14 years and 1 day late butttttt um this isn't even a real problem