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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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;](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc0f7cc9-058c-4420-b4c2-0bfb103b906f%2F114bdfb4-8682-4147-8e6e-a202a33c5c2e%2Fpohz1rg_processed.png&w=3840&q=75)
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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