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Taylor series problem (non-direct differentiation?)

  1. Feb 18, 2014 #1
    I attached a picture of the problem from my online HW. I know how to solve the problem through direct differentiation, but that would too long to find the derivatives for this problem, and the problem actually suggests that I find another way. So my question is, what's the best way to solve this?
     

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  2. jcsd
  3. Feb 18, 2014 #2

    pasmith

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    Multiply the Taylor series of [itex]\sin(7x)[/itex] by [itex]x^3[/itex].
     
  4. Feb 19, 2014 #3
    Thank you... wouldve never guessed it was so simple.
     
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