Question: Replace the assumption in Theorem 2.4 that a positive number k < 1 exists with |g'(x)| k with g satisfies a Lipschitz condition on

Replace the assumption in Theorem 2.4 that “a positive number k < 1 exists with |g'(x)| ≤ k” with “g satisfies a Lipschitz condition on the interval [a, b] with Lipschitz constant L < 1. Show that the conclusions of this theorem are still valid.

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