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Represent sinh2x as power series

  1. Apr 17, 2010 #1
    1. The problem statement, all variables and given/known data

    find the first three non zero terms of a power series representation of f(x)= sinh 2x

    2. Relevant equations

    28d4ed96c3b785a1f4e424e76e64d349.png

    3. The attempt at a solution

    seems easy enough do I just substitute 2x for x?

    so sinh 2x= 2x + 8x3/3! + 32x5/5!
     
  2. jcsd
  3. Apr 17, 2010 #2

    rock.freak667

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    Yes that should be correct.
     
  4. Apr 17, 2010 #3
    Thanks I messed this one up on a test because I forgot to put the formula on my cheat sheet but damn that was easy
     
  5. Apr 17, 2010 #4

    Dick

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    You didn't really need to have the formula on your cheat sheet if you know how to differentiate sinh(2x). Just use the general formula for a Taylor series.
     
  6. Apr 17, 2010 #5

    nicksauce

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    Or if you know how to express sinh(x) in terms of exponentials, and you know the Taylor series for exp(x).
     
  7. Apr 18, 2010 #6
    Well I tried using Taylor series and am happy to say that was also very easy and much more satisfying. Those Taylor series aren't so bad after all:)
     
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