Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Power series

  1. Aug 4, 2003 #1
    Hello, can anyone help me on this one? I am finding problem pretty tricky indeed.

    I know the power series (or Taylor series) for cosx is

    1-x^2/2!+x^4/4!-x^6/6!+... (It is convergent for all element x is a member of set R)

    Q) Write down the power series for cos(u^2) up to the u^24 term.

    Your help is kindly appreciated.
  2. jcsd
  3. Aug 4, 2003 #2


    User Avatar
    Staff Emeritus
    Gold Member
    Dearly Missed

    First write the cos(x) series you know. Then plug in u^2 for each x in the series. What will that do to the powers of u? What will it do to the coefficients? After you answer those questions try this. What will be the factorial in the denominator when the power of u is 24?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Power series
  1. Power series (Replies: 2)

  2. Power Series (Replies: 1)

  3. Power Series (Replies: 2)