Let be a differentiable function with inverse g such that (0) 0 and '(0) 0 Prove that f(x) lim f'(0) x0 g(x)...

Since g and f are inverse functions we have g fx x for all x in the do ...

Let be a differentiable function with inverse g such that (0) = 0 and '(0)

Question:

Let ƒ be a differentiable function with inverse g such that ƒ(0) = 0 and ƒ'(0) ≠ 0. Prove that

f(x) lim = f'(0) x0 g(x)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 02:49 AM

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Let be a differentiable function with inverse g such that (0) = 0 and '(0)

Question:

f(x) lim = f'(0)² x→0 g(x)

Step by Step Answer:

Since g and f are inverse functions we have g fx x for all x in the do...View the full answer

Calculus

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