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x3+ y3 Consider lim Which ONE of the following statements is TRUE? (x, y) → (1, – 1) x+y A. The limit does not exist; B. None of the choices in the list. O. 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 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;

x3+ y3 Consider lim Which ONE of the following statements is TRUE? (x, y) → (1, – 1) x+y A. The limit does not exist; B. None of the choices in the list. O. 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 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;

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 A. The limit does not exist; B. None of the choices in the list. O. 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 (x,y) is in the domain of f (x,y) = and then |f (x.y) – 3|<e; O D. 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 (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 8>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 <ɛ;
Transcribed Image Text:x³+y3 Consider lim Which ONE of the following statements is TRUE? (x,y) – (1, – 1) x+y A. The limit does not exist; B. None of the choices in the list. O. 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 (x,y) is in the domain of f (x,y) = and then |f (x.y) – 3|<e; O D. 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 (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 8>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 <ɛ;
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