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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 12.3 - Problem 59
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 12.3 - Problem 59

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# Explain why or why not Determine whether the | Ch 12.3 - 59 ISBN: 9780321947345 167

## Solution for problem 59 Chapter 12.3

Calculus: Early Transcendentals | 2nd Edition

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Problem 59

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. If the limits lim 1x,02S10,02 f 1x, 02 and lim 10,y2S10,02 f 10, y2 exist and equal L, then lim 1x,y2S10,02 f 1x, y2 = L. b. If lim 1x,y2S1a,b2 f 1x, y2 equals a finite number L, then f is continuous at 1a, b2. c. If f is continuous at 1a, b2, then lim 1x,y2S1a,b2 f 1x, y2 exists. d. If P is a boundary point of the domain of f, then P is in the domain of f.

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##### ISBN: 9780321947345

Since the solution to 59 from 12.3 chapter was answered, more than 393 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 59 from chapter: 12.3 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. The answer to “Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. If the limits lim 1x,02S10,02 f 1x, 02 and lim 10,y2S10,02 f 10, y2 exist and equal L, then lim 1x,y2S10,02 f 1x, y2 = L. b. If lim 1x,y2S1a,b2 f 1x, y2 equals a finite number L, then f is continuous at 1a, b2. c. If f is continuous at 1a, b2, then lim 1x,y2S1a,b2 f 1x, y2 exists. d. If P is a boundary point of the domain of f, then P is in the domain of f.” is broken down into a number of easy to follow steps, and 99 words.

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