1. Find the limit, if it exists, or show that the limit does not exist. (a) lim xy cos(x - 2y) (x,y) →(6,3) x² - y² (c) lim (x,y)→(0,0) x² + y² 2x²y x² + sin² y (b) lim (x,y)→(0,0) 2x² + y² (d) lim (x,y)→(0,0) x² + y²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Find the limit, if it exists, or show that the limit does not exist.
x² - y²
(a)
(x,y) →(6,3)
lim xy cos(x - 2y)
(c)
lim
(x,y) →(0,0)
x² + y²
x² + sin² y
2x²y
(b)
(d)
lim
(x,y) →(0,0) 2x² + y²
lim
(x,y)→(0,0) x² + y²
Transcribed Image Text:1. Find the limit, if it exists, or show that the limit does not exist. x² - y² (a) (x,y) →(6,3) lim xy cos(x - 2y) (c) lim (x,y) →(0,0) x² + y² x² + sin² y 2x²y (b) (d) lim (x,y) →(0,0) 2x² + y² lim (x,y)→(0,0) x² + y²
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