A) x4-(y-1)4 lim (x,y)→(0,1) x²+(y-1)² = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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
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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