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(b) Show that lim (x.y)(0,0) 2x6 + y2 does not exist by letting (x, y)→(0, 0) along the curve y = x³.

(b) Show that lim (x.y)(0,0) 2x6 + y2 does not exist by letting (x, y)→(0, 0) along the curve y = x³.

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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34. (a) Show that as (x, y)(0, 0) along any straight line y = mx, or along any parabola y = kx², the value of %3D 3 Xy 2r6+y2 approaches 0. (cont.)
Transcribed Image Text:34. (a) Show that as (x, y)(0, 0) along any straight line y = mx, or along any parabola y = kx², the value of %3D 3 Xy 2r6+y2 approaches 0. (cont.)
(b) Show that x'y 3. lim (x.y) → (0,0) 2x6 + y2 does not exist by letting (x, y)→ (0, 0) along the curve y = x'.
Transcribed Image Text:(b) Show that x'y 3. lim (x.y) → (0,0) 2x6 + y2 does not exist by letting (x, y)→ (0, 0) along the curve y = x'.
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