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Maclaurin Series Question

  1. Apr 28, 2014 #1
    1. The problem statement, all variables and given/known data

    Problem is attached in this post.

    2. Relevant equations

    Problem is attached in this post.

    3. The attempt at a solution

    I used the Maclaurin Series for sin (x) and got the following series:

    π/10 - π^3/6,000 + ....... etc.

    I can't find a way to simplify the series to get an answer (Without a calculator etc.)

    The answer is C. 31/100
     

    Attached Files:

  2. jcsd
  3. Apr 28, 2014 #2

    mfb

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    Staff: Mentor

    π is about 3.14 and π2 is roughly 10. That should be sufficient, and you can make a very rough estimate for π in the second term.
     
  4. Apr 28, 2014 #3
    That's true, but then some of the other answer choices could also be possible answers then, how can you say for sure then that 31/100 is the correct answer?
     
  5. Apr 29, 2014 #4

    mfb

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    Staff: Mentor

    Just plug in the approximations I suggested, get your expansion on a common fraction and it will be clear.
     
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