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Math Help - Maclaurin polynomials

  1. #1
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    Maclaurin polynomials

    Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin polynomials for the function in sigma notation.

    1)sinh x

    2)xe^x

    3)ln(1+x)

    4)cos PIx
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  2. #2
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    The formula for the nth Maclaurin polynomial is f(x) \approx \sum_{k=0}^n\frac{1}{k!}f^{(k)}(0)x^k where f^{(k)}(0) is the kth derivative of f at x=0.
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