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Math Help - Estimation of Taylor series

  1. #1
    Junior Member
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    Estimation of Taylor series



    For question 11 (which I think is more straightforward than 10), I think I have the answer, which is 2decimal places
    For question 10, I end up with the following formula
    R9 = (Cos(w) (2-pi/2) 9 )/9!
    However, I have never understood what w is (some textbooks and videos use z) other than it is a number between x and c. I assume x is 2 and c is pi/2 but what number is inbetween. Depending on what I use I get a massive difference in "error". What is w?
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  2. #2
    MHF Contributor
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    Re: Estimation of Taylor series

    Hey lukasaurus.

    The statement is that w is a number between x and c and is just an existence theorem: in other words, the proof says that the condition exists and not what it is.

    What you should do is to use the statement to get the maximum possible error and use that to get the answer for the sine.
    Thanks from lukasaurus
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