Determine whether or not the following limits exist (explain why or why not): x² - y² a) lim (x,y)-(0,0) x² + y² b) lim (x,y) (0,0) x² + 2x²y² + y² x² + y²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine whether or not the following limits exist (explain why or why not):
x² - y²
a)
lim
(x,y) (0,0) x² +
b)
lim
(x,y) →(0,0)
x² + 2x²y² + y²
x² + y²
Transcribed Image Text:Determine whether or not the following limits exist (explain why or why not): x² - y² a) lim (x,y) (0,0) x² + b) lim (x,y) →(0,0) x² + 2x²y² + y² x² + y²
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