1. Not finding help here? Sign up for a free 30min 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!

How should I expand 1/(1+x)^n around x=0?

  1. Apr 19, 2013 #1
    1. The problem statement, all variables and given/known data

    How should I expand 1/(1+x)^n around x=0?

    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: Apr 19, 2013
  2. jcsd
  3. Apr 19, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    Did you try a Taylor expansion?
    What did you get? Where did you run into problems?
     
  4. Apr 19, 2013 #3
    I know that (1+x)^n could be expanded easily by binomial theorem, but what I need here is to expand (1+x)^-n into polynomial form, not the reciprocal of a polynomial
     
  5. Apr 19, 2013 #4

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    I don't see how your answer is related to my post.
    You can just calculate the Taylor expansion.
     
  6. Apr 19, 2013 #5

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Are you familiar with Taylor Series ?

    The Taylor expansion for a function, f(x), expanded about x = a is:

    ## \displaystyle f(x)=f(a)+\frac {f'(a)}{1!} (x-a)+ \frac{f''(a)}{2!} (x-a)^2+\frac{f^{(3)}(a)}{3!}(x-a)^3+ \cdots \ . ##

    So, expanding about x = 0 gives:

    ## \displaystyle f(x)=f(0)+\frac {f'(0)}{1!} (x)+ \frac{f''(0)}{2!} (x)^2+\frac{f^{(3)}(0)}{3!}(x)^3+ \cdots \ . ##
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: How should I expand 1/(1+x)^n around x=0?
Loading...