1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Taylor Series

  1. Apr 6, 2006 #1
    Hi everyone, I am completely stuck on the below problem. Would anyone like to give me a hint?

    This is the problem:


    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 [tex]1/f(x)[/tex] .

    Thanks a lot!:smile:

    PS: also, for the expansion of [tex]e^{e^(x)}[/tex] 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. jcsd
  3. Apr 6, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Improve your notation first.
  4. Apr 7, 2006 #3
    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 [tex]exp^{exp^{x}}[/tex], instead of the sum formula. This is all very odd!
    Last edited: Apr 7, 2006
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook