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Homework Help: Maclaurin's Series

  1. Feb 7, 2012 #1
    1. The problem statement, all variables and given/known data

    Find all the terms up to and including x2 in the power series for tan(ex).

    2. Relevant equations

    3. The attempt at a solution

    I wonder can i expand it as follow... why will i get different answer when I use Maclaurin's Series to expand it?

    Mathematics 12.png
  2. jcsd
  3. Feb 7, 2012 #2


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    Homework Helper

    Well, what's the next term (the one with e5x)? Does it contribute a term with x2? How about the one after that? ...etc.

    If you're asked to find a series sum up to and including the x2 term, you have to be certain that you've accounted for ALL the terms that can contribute to the coefficient of x2 in the final series.

    You're better off just applying Maclaurin's directly to the function tan(ex).
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