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Show that the limit sin(xy) lim (z,y) →+(0,0) x² + y² does not exist by finding the limit along the x-axis, the y-axis, and the line y = -x. Two of these limits will be the same value and one will be different. What is the limit value that is different? Put your answer in decimal form.

Show that the limit sin(xy) lim (z,y) →+(0,0) x² + y² does not exist by finding the limit along the x-axis, the y-axis, and the line y = -x. Two of these limits will be the same value and one will be different. What is the limit value that is different? Put your answer in decimal form.

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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Show that the limit sin(xy) lim (z,y) (0,0) x² + y² does not exist by finding the limit along the x-axis, the y-axis, and the line y = -x. Two of these limits will be the same value and one will be different. What is the limit value that is different? Put your answer in decimal form.
Transcribed Image Text:Show that the limit sin(xy) lim (z,y) (0,0) x² + y² does not exist by finding the limit along the x-axis, the y-axis, and the line y = -x. Two of these limits will be the same value and one will be different. What is the limit value that is different? Put your answer in decimal form.
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