Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8 (x,y) → (5,1) 3x +y-16 ху-5у lim 2 (x.y) → (5,0) x² – 10x+y² +25 x³y f(x) = { x7 + x³y? (х,у) 2 (0,0) ' D is continuous at (0,0). (x,y) = (0,0)
Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8 (x,y) → (5,1) 3x +y-16 ху-5у lim 2 (x.y) → (5,0) x² – 10x+y² +25 x³y f(x) = { x7 + x³y? (х,у) 2 (0,0) ' D is continuous at (0,0). (x,y) = (0,0)
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
![Which of the following statements is true?
7x2
A
lim
3
(х.у) — (0,0) Зx2— 5ху+2у
/3x+у-4
1
B
lim
8
(к,у) - (5,1) Зх +у-16
ху-5у
1
lim
2
(х.у) - (5,0) х?—-10х+у? +25
x³y
(x,y) # (0,0)
D
f(x) ={ x + x
3,
³y²'
is continuous at (0,0).
(x,y) = (0,0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a04c625-86b5-4569-b287-66757cb732e9%2F5e6c7f9d-f13b-427f-b6dd-abad2c40157a%2Fcgf62up_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following statements is true?
7x2
A
lim
3
(х.у) — (0,0) Зx2— 5ху+2у
/3x+у-4
1
B
lim
8
(к,у) - (5,1) Зх +у-16
ху-5у
1
lim
2
(х.у) - (5,0) х?—-10х+у? +25
x³y
(x,y) # (0,0)
D
f(x) ={ x + x
3,
³y²'
is continuous at (0,0).
(x,y) = (0,0)
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