x³ + 4y³ lim (x,y) (0,0) x² + y² x³ + 4y² lim (x,y) (0,0) x² + y² lim (x,y) →(1,1) 13x³ + 5y² x² + y² √

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the limit exists. If it exists, find the limit.
x³ + 4y³
lim
(x,y) (0,0) x² + y²
(a)
x³ + 4y²
(x,y) (0,0) x² + y²
(b) lim
13x³ + 5y²
(x,y)+(1,1) |_x² + y²
(c) lim
(d) lim
(x,y) →(0,0)
ex²+y²-1-x² - y²
(x² + y²)²
xy²
(x,y) (0,0) 4x2 +9y4
(e) lim
Transcribed Image Text:Determine whether the limit exists. If it exists, find the limit. x³ + 4y³ lim (x,y) (0,0) x² + y² (a) x³ + 4y² (x,y) (0,0) x² + y² (b) lim 13x³ + 5y² (x,y)+(1,1) |_x² + y² (c) lim (d) lim (x,y) →(0,0) ex²+y²-1-x² - y² (x² + y²)² xy² (x,y) (0,0) 4x2 +9y4 (e) lim
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