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    Use the Mean-Value Theorem and assume that F is a continuously differentiable function.

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    Let a sequence xn be defined inductively by . Suppose that as and . Show that

    .

    (Note that " " refers to "little oh")

    HINT: Use the Mean-Value Theorem and assume that F is a continuously differentiable function.

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    https://brainmass.com/math/graphs-and-functions/mean-value-theorem-continuously-differentiable-function-48731

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    Proof:
    Suppose is a continuously ...

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