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Homework Help: Finding Taylor Series - different Method

  1. Sep 11, 2011 #1
    1. The problem statement, all variables and given/known data

    Hello, I'm in the middle of solving for the Taylor series of the function:


    up to n = 4.

    3. The attempt at a solution

    So far, I've been strictly taking its derivatives until I reach the fourth.
    It's becoming a very long process considering it's just one of the many homework problems, and I can't help but think if there's a more elegant way of doing this.

    Thank you in advance.
  2. jcsd
  3. Sep 11, 2011 #2


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    Science Advisor

    Since you are only required to do this for n up to 4, I would suggest that you write out the Taylor's polynomials for sin(2x) and ln(1- x) separately (you should be familiar enough with those that you don't need to actually do the derivatives) and then multiply.
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