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x³+y³ Consider lim Which ONE of the following statements is TRUE? (x,y) → (1, – 1) x+y O A. None of the choices in the list. O B. For every number e>0 there is a corresponding number 8>0 such that if point x3+y3 and 00 there is a corresponding number 8>0 such that if point x³+y3 and 00 there is a corresponding number 8>0 such that if point x3+y3 (x,y) is in the domain of ƒ (x, y) = and 0< :V (x-1)²+ (y+1) ? <8 x+y and then |f (x,y) – 3|

x³+y³ Consider lim Which ONE of the following statements is TRUE? (x,y) → (1, – 1) x+y O A. None of the choices in the list. O B. For every number e>0 there is a corresponding number 8>0 such that if point x3+y3 and 00 there is a corresponding number 8>0 such that if point x³+y3 and 00 there is a corresponding number 8>0 such that if point x3+y3 (x,y) is in the domain of ƒ (x, y) = and 0< :V (x-1)²+ (y+1) ? <8 x+y and then |f (x,y) – 3|

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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x3+ y3 Consider lim Which ONE of the following statements is TRUE? (x,y)→ (1, – 1) x+y O A. None of the choices in the list. O B. For every number e>0 there is a corresponding number 8>0 such that if point x³+y3 and 0< / (x– 1)2+ (y+1)² <8 (x,y) is in the domain of f (x,y) = x+y and then |f (x,y) +3|<e; O C. The limit does not exist; O D. For every number e>0 there is a corresponding number d>0 such that if point x³+y3 and 0< / (x- 1)2+ (y+1)² <8 x+y (x,y) is in the domain of f (x,y) = and then |f (x,y) – 3|<e; - O E. For some number e>0 there is a corresponding number d>0 such that if point x3+y3 and 0< / (x- 1)2+ (y+1)² <8 x+y (x,y) is in the domain of f (x,y) = and then |f (x,y) – 3|<e;
Transcribed Image Text:x3+ y3 Consider lim Which ONE of the following statements is TRUE? (x,y)→ (1, – 1) x+y O A. None of the choices in the list. O B. For every number e>0 there is a corresponding number 8>0 such that if point x³+y3 and 0< / (x– 1)2+ (y+1)² <8 (x,y) is in the domain of f (x,y) = x+y and then |f (x,y) +3|<e; O C. The limit does not exist; O D. For every number e>0 there is a corresponding number d>0 such that if point x³+y3 and 0< / (x- 1)2+ (y+1)² <8 x+y (x,y) is in the domain of f (x,y) = and then |f (x,y) – 3|<e; - O E. For some number e>0 there is a corresponding number d>0 such that if point x3+y3 and 0< / (x- 1)2+ (y+1)² <8 x+y (x,y) is in the domain of f (x,y) = and then |f (x,y) – 3|<e;
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