Suppose E is a subset of X, where X is a metric space, p is a limit point of E, f and g are complex functions on E and the limit as x approaches p of f(x) is  A and the limit as x apporaches p of g(x) is B. Prove the limit as x approaches p of (f/g)(x)=A/B if B does not equal 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
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Suppose E is a subset of X, where X is a metric space, p is a limit point of E, f and g are complex functions on E and the limit as x approaches p of f(x) is  A and the limit as x apporaches p of g(x) is B. Prove the limit as x approaches p of (f/g)(x)=A/B if B does not equal 0.

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