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7. Find each limit or show that the limit does not exist: 2x²y² - 2 lim (x,y) →(1,1) x² + y² -2° (a) (b) (c) xy+1 lim (x,y) →(0,0) x² + y² +1° x² + y² lim (x,y) →(0,0) √√x² + y² + 1 − 1°

7. Find each limit or show that the limit does not exist: 2x²y² - 2 lim (x,y) →(1,1) x² + y² -2° (a) (b) (c) xy+1 lim (x,y) →(0,0) x² + y² +1° x² + y² lim (x,y) →(0,0) √√x² + y² + 1 − 1°

Advanced Engineering Mathematics
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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7. Find each limit or show that the limit does not exist: 2x²y² - 2 2 (a) lim (b) (c) 8. If (x,y) →(1,1) x² + y² xy+1 lim (x,y) →(0,0) x² + y² + 1 x² + y² lim (x,y) →(0,0) x² + y² + 1 - 1 lim (x,y) →(3,8) f (x, y) = 2022, what can you say about the value of ƒ (13,8) ?
Transcribed Image Text:7. Find each limit or show that the limit does not exist: 2x²y² - 2 2 (a) lim (b) (c) 8. If (x,y) →(1,1) x² + y² xy+1 lim (x,y) →(0,0) x² + y² + 1 x² + y² lim (x,y) →(0,0) x² + y² + 1 - 1 lim (x,y) →(3,8) f (x, y) = 2022, what can you say about the value of ƒ (13,8) ?
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