Suppose (x) = x(2 + sin x) and let g(x) = x 2 + 1. Do (a)

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Suppose ƒ(x) = x(2 + sin x) and let g(x) = x+ 1.

(a) Show directly that lim f(x)/g(x) = 0. X0 (b) Show that lim f(x) = lim g(x) = o, but lim f'(x)/g'(x) does

Do (a) and (b) contradict L’Hôpital’s Rule? Explain.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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