x3+ y3 Consider lim Which ONE of the following statements is TRUE? (л.у) — (1,-1) х+у O A. For some 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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
x3+ y3
Consider
lim
Which ONE of the following statements is TRUE?
(х,у) — (1,-1) х+у
O A. 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) is in the domain of f (x,y)
x+y
and then f (x,y) – 3 <e;
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
(x,y) is in the domain of f (x,y)
and then f (x,y) +3| <e;
OC. The limit does not exist;
O D. None of the choices in the list.
O E. 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;
Transcribed Image Text:x3+ y3 Consider lim Which ONE of the following statements is TRUE? (х,у) — (1,-1) х+у O A. 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) is in the domain of f (x,y) x+y and then f (x,y) – 3 <e; 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 (x,y) is in the domain of f (x,y) and then f (x,y) +3| <e; OC. The limit does not exist; O D. None of the choices in the list. O E. 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;
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