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Homework Help: How to find the nth term of this Series.

  1. Nov 3, 2012 #1
    1. The problem statement, all variables and given/known data

    1. First, calculate the Taylor polynomial of degree 4 for f(x)=sin(3x) about x=0.

    2. Then find the 156th term of the infinite Taylor Series for g(x)=sin(3x)

    2. Relevant equations

    My Taylor polynomial ended up being -4.5x3+3.

    3. The attempt at a solution

    I understood part one, but how do I use the nth term for infinite series equation on the polynomial I just developed? Or is it asking something different?
  2. jcsd
  3. Nov 3, 2012 #2


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    Homework Helper

    From the terms you calculated, look at the pattern of the formulas and see if you can formulate the expression for an nth term.

    Then you'd want n=156

    If you know the expansion of sinx about x=0 or how to formulate the nth term, it is a similar exercise.
  4. Nov 3, 2012 #3


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    Your degree 4 Taylor polynomial is also a bit off. Is that just a typo?
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