Problem 5.3 Limits and continuity a) Find the limits of 06 ( 12² + 1²1 ) 1+x+y lim COS (x,y) (0,0) b) Find the following limits by rewriting the fraction first: x-y lim (x,y) → (2,2) x4-y4' and lim (x,y) (0,0) x4 + y² and and xy lim (x,y) →(5,1) x+y c) By considering different paths of approach, show that the following limits do not exist: xy³ lim (x,y) (0,0) x2 + yº· x+y-4 (x,y)+(2,2) √√x+y=2' lim
Problem 5.3 Limits and continuity a) Find the limits of 06 ( 12² + 1²1 ) 1+x+y lim COS (x,y) (0,0) b) Find the following limits by rewriting the fraction first: x-y lim (x,y) → (2,2) x4-y4' and lim (x,y) (0,0) x4 + y² and and xy lim (x,y) →(5,1) x+y c) By considering different paths of approach, show that the following limits do not exist: xy³ lim (x,y) (0,0) x2 + yº· x+y-4 (x,y)+(2,2) √√x+y=2' lim
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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