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Mathematics LibreTexts

3.E: Questions Concerning Power Series (Exercises)

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    7932

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    Q1

    Use Taylor’s formula to find the Taylor series of the given function expanded about the given point \(a\).

    1. \(f(x) = \ln(1 + x),\; a = 0\)
    2. \(f(x) = e^x,\; a = -1\)
    3. \(f(x) = x^3 + x^2 + x + 1,\; a = 0\)
    4. \(f(x) = x^3 + x^2 + x + 1,\; a = 1\)

    Contributor

    • Eugene Boman (Pennsylvania State University) and Robert Rogers (SUNY Fredonia)