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lim (x,y)→(0,0) x² – y? x2 + xy + y? II

lim (x,y)→(0,0) x² – y? x2 + xy + y? II

Calculus: Early Transcendentals
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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The image presents a mathematical limit problem, which is as follows: \[ \lim_{(x,y) \to (0,0)} \frac{x^2 - y^2}{x^2 + xy + y^2} = \,\, . \] The text also references "Sec 14.2; check along the x-axis and y-axis." This suggests that the problem is from a particular section in a textbook or educational material where students may be instructed to examine the limit by evaluating it along different paths, specifically the x-axis and y-axis.
Transcribed Image Text:The image presents a mathematical limit problem, which is as follows: \[ \lim_{(x,y) \to (0,0)} \frac{x^2 - y^2}{x^2 + xy + y^2} = \,\, . \] The text also references "Sec 14.2; check along the x-axis and y-axis." This suggests that the problem is from a particular section in a textbook or educational material where students may be instructed to examine the limit by evaluating it along different paths, specifically the x-axis and y-axis.
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