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Math Help - Taylor Polynomial

  1. #1
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    Taylor Polynomial

    Use Taylor plynomial approximations to avoid loss of significance errors when x is near 0;

    ((e^x) - 1)) / x

    and

    (x + log(1-x)) / x^2

    Any advice...not sure how to go about this. Thanks.
    Last edited by jzellt; September 19th 2009 at 12:05 AM.
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  2. #2
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    For (e^x-1) / x, is x the exponent or x - 1? I just wanted to double check that, anyways, I had a question I believe to be identical to this one on my calc final last year..
    If it is only x, then to solve this, use the Taylor Polynomial for e^x centered at x = 0 which you should have memorized, then subtract one from it and then divide every term by x.
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