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: Power Series expansion of hyperbolic functions

  1. Feb 1, 2009 #1
    1. The problem statement, all variables and given/known data

    power series expansion of:

    ((cosh x)/(sinh x)) - (1/x)

    2. Relevant equations

    cosh x = (1/2)(ex + e-x)
    sinh x = (1/2)(ex - e-x)

    3. The attempt at a solution
    what i have so far:

    I simplified the first part of the eq to read :

    now I am stuck. please help
  2. jcsd
  3. Feb 1, 2009 #2
    You simplified for it to be [tex] \frac{e^{2x}-1}{e^{2x}-1} [/tex]? Isn't that just 1?
  4. Feb 1, 2009 #3


    User Avatar
    Homework Helper

    error in simplification:

  5. Feb 1, 2009 #4
    I'm sorry that was a typo. Should I just expand both was like you would ex? how about the 1/x part?
  6. Feb 1, 2009 #5
    I would and then hopefully things will cancel, for example what's the expansion for [tex]e^{2x} - 1 [/tex]?
  7. Feb 2, 2009 #6


    User Avatar
    Homework Helper

    How do one usually find the taylor series of a given function?
    now you have a function, what do you do? :rolleyes:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook