Suppose that (a) Explain why for any constant a 0. (b) If we assume instead that

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Suppose that lim g(h) = L. h0

(a) Explain why lim g(ah) = L h0 for any constant a ≠ 0.

(b) If we assume instead that 1+4 7 = ()  - is it still necessarily true that lim g(ah) = L? h1

(c) Illustrate (a) and (b) with the function ƒ(x) = x2.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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