In the notation of Exercise 66, give an example where L exists but neither A nor B

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In the notation of Exercise 66, give an example where L exists but neither A nor B exists.


Data From Exercise 66

Assume that the following limits exist:

A = lim f(x), xa B = lim g(x), xa f(x) xa g(x) L = lim

Prove that if L = 1, then A = B. You cannot use the Quotient Law if B = 0, so apply the Product Law to L and B instead.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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