# Homework Help: Taylor Series

1. Apr 6, 2006

### mmh37

Hi everyone, I am completely stuck on the below problem. Would anyone like to give me a hint?

This is the problem:

Let

f(x) = \sum {a(i)*x^(i)}

for i=0 up to infinity

given that f(0)= 0 , find the first three terms in the Taylor expansion about
x = 0 of the function $$1/f(x)$$ .

Thanks a lot!

PS: also, for the expansion of $$e^{e^(x)}$$ is it OK to simply expand the entire function in one go by differentiating the entire thing (which is what I did) or does one have to split it up somehow?

Last edited: Apr 7, 2006
2. Apr 6, 2006

3. Apr 7, 2006

### mmh37

I tried to do it with latex but I don't know how to do sums? And strangely if I put Latex brackets around the first expression it generates a different image,namely $$exp^{exp^{x}}$$, instead of the sum formula. This is all very odd!

Last edited: Apr 7, 2006