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Thread: Taylor Coefficients

  1. #1
    Del
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    Taylor Coefficients

    The Taylor series for f(x)=e^x at a = -3 is


    ∑ c(n)(x+3)^n
    n=0

    Find the first few coefficients. Note: c(n) is c sub-index n.

    I'm trying to figure out the process by which these coefficients are found, please help!
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by Del View Post
    The Taylor series for f(x)=e^x at a = -3 is


    ∑ c(n)(x+3)^n
    n=0

    Find the first few coefficients. Note: c(n) is c sub-index n.

    I'm trying to figure out the process by which these coefficients are found, please help!
    Coefficients are... $\displaystyle f(a), f'(a), f''(a), \ldots$
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  3. #3
    Del
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    So what coefficients did you get for this particular problem? I can only get the first two as e^(-3), and I need the first 5.
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