xy² (x,y) →(0,0) x³ + y³ b) Show that lim does not exist.

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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4(x-2)x+2) (x, y) =*2,1) 4(x
[8] b) Show that
xy²
lim
(x,y)→(0,0) 2³+y³
two path rest
(0) (0)²
(x,y) → (90) (03²³+ (0) ³
does not exist.
Transcribed Image Text:4(x-2)x+2) (x, y) =*2,1) 4(x [8] b) Show that xy² lim (x,y)→(0,0) 2³+y³ two path rest (0) (0)² (x,y) → (90) (03²³+ (0) ³ does not exist.
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