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Represent sinh2x as power series

  • Thread starter synergix
  • Start date
  • #1
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Homework Statement



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

Homework Equations



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The Attempt at a Solution



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

so sinh 2x= 2x + 8x3/3! + 32x5/5!
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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Yes that should be correct.
 
  • #3
178
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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
 
  • #4
Dick
Science Advisor
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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.
 
  • #5
nicksauce
Science Advisor
Homework Helper
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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.
Or if you know how to express sinh(x) in terms of exponentials, and you know the Taylor series for exp(x).
 
  • #6
178
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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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