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

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September 23rd, 2022

(See attached file for full problem description)
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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