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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Transcribed Image Text:1. Prove the following limits
x²-(y-1)4
A)
lim
(x,y)→(0,1) x²+(y−1)²
B) lim
(x,y)→(1,1)
C)
= 0
(x-1)4/3-(y-1)4/3
(x-1)2/3+(y-1)2/3
= 0
x²y+xy²
lim
(x,y) (0,0) x² + y²
= 0
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