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Taylor series

This is a discussion on Taylor series within the Excel Questions forums, part of the Question Forums category; Is there a way to format the Taylor series into Excel for a specified range of numbers? Thanks for all ...

  1. #1
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    Is there a way to format the Taylor series into Excel for a specified range of numbers?
    Thanks for all the advice!!

  2. #2
    Board Regular rbraxton's Avatar
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    The Taylor series for f about c can be written as follows.
    f(x) = f(c) + f'(c)(x-c) +{ f''(c)(x-c)2}/2! + {f'''(c)(x-c)3}/3! + ... + { fn(c)(x-c)n}/n! + ...
    When c = 0, the Taylor Series is equivalent to Maclaurin Series.

    Example:
    Use Taylor Series to expand ex around 1.
    Solution:
    f(x) = ex and f(1) =e
    f'(x) = ex and f'(1)=e
    f''(x) = ex and f''(1) =e and so on.
    Therefore, f(x) = e + e(x-1) + {e(x-1)2}/2! + {e(x-1)3}/3! + ...

    [ This Message was edited by: rbraxton on 2003-02-18 12:56 ]

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