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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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1. Prove the following limits
B)
C)
(x-1)4/3-(y-1)4/3
lim
(x,y) (1,1) (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 B) C) (x-1)4/3-(y-1)4/3 lim (x,y) (1,1) (x-1)2/3+(y-1)2/3 = 0 x²y+xy² lim (x,y)→(0,0) x² + y² = 0
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