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: Find Taylor Series

  1. Sep 23, 2014 #1
    1. The problem statement, all variables and given/known data

    Find the taylor series representation for the following function
    f(x) = cos(x) in powers of x-pi

    2. Relevant equations



    3. The attempt at a solution

    I don't know what they mean by "in powers of x-pi", that's the part i'm confused with. Can somebody please explain that part for me, thanks
     
  2. jcsd
  3. Sep 23, 2014 #2

    ShayanJ

    User Avatar
    Gold Member

    That just means you should expand around [itex] x=\pi [/itex] rather than the usual [itex] x=0 [/itex].
     
  4. Sep 23, 2014 #3
    Does that mean the "a" value is pi ?
     
  5. Sep 23, 2014 #4

    ShayanJ

    User Avatar
    Gold Member

    If you write [itex] f(a+\delta)=\sum_{n=0}^\infty \frac{f^{(n)}(a)}{n!} \delta^n [/itex], then yes!
     
  6. Sep 23, 2014 #5
    I use this formula

    f^(n)(a)*((x-a)^n)/n!

    And sub in pi for a, thanks
     
  7. Sep 23, 2014 #6

    Mark44

    Staff: Mentor

    Yes, this is what the general term in your Taylor series will look like. Note that a Maclaurin series is a special case of a Taylor series, where a = 0.
     
  8. Sep 26, 2014 #7
    Ok , thanks
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Loading...