x² + 2y? + 3z² 18. lim (x, y, 2) →(0, 0, 0) x² + y² + z?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

18) Find the limit, if it exists, or show that the limit does not exist.

5-20 Find the limit, if it exists, or show that the limit does
not exist.
lim
5.
(x, y)→(1, 2)
(5.x³ – x²y²)
6.
lim
e *y cos(x + y)
(x, y)→(1, – 1)
x? + sin’y
7.
lim
8.
lim
(x, y)→(0, 0) 2x² + y²
4
(х, у) — (0, 0) х* + Зу*
ху сos y
6x'y
9.
lim
(х, у) — (0), 0) Зх?2 + y?
10.
lim
(х, у) — (0, 0) 2х*+y
ху
x² sin y
11.
lim
12.
lim
(x, y)→(0, 0) Vx² +
x² + y²
(х, у) — (0, 0) х2+2у?
x²ye"
13.
lim
14.
lim
(x, y)→(0, 0) x* + 4y?
(x, y)→(0, 0) x² +
x4
4
x² + y?
-
15.
lim
(х, у) — (0, 0)
lim
16.
² + y² + 1 – 1
(х., у) —- (0, 0) х? + y
17.
lim
е *у sin(тz/2)
(x, y, 2) →(3, 0, 1)
x? + 2y? + 3z²
18.
lim
(x, y, z)→(0, 0, 0) x² + y² + z?
ху + yz* + xz?
lim
(x, y, 2)→(0, 0, 0) x² + y² + z4
19.
yz
20.
lim
(x, y, z)→(0, 0, 0) x² + 4y² + 9z²
Transcribed Image Text:5-20 Find the limit, if it exists, or show that the limit does not exist. lim 5. (x, y)→(1, 2) (5.x³ – x²y²) 6. lim e *y cos(x + y) (x, y)→(1, – 1) x? + sin’y 7. lim 8. lim (x, y)→(0, 0) 2x² + y² 4 (х, у) — (0, 0) х* + Зу* ху сos y 6x'y 9. lim (х, у) — (0), 0) Зх?2 + y? 10. lim (х, у) — (0, 0) 2х*+y ху x² sin y 11. lim 12. lim (x, y)→(0, 0) Vx² + x² + y² (х, у) — (0, 0) х2+2у? x²ye" 13. lim 14. lim (x, y)→(0, 0) x* + 4y? (x, y)→(0, 0) x² + x4 4 x² + y? - 15. lim (х, у) — (0, 0) lim 16. ² + y² + 1 – 1 (х., у) —- (0, 0) х? + y 17. lim е *у sin(тz/2) (x, y, 2) →(3, 0, 1) x? + 2y? + 3z² 18. lim (x, y, z)→(0, 0, 0) x² + y² + z? ху + yz* + xz? lim (x, y, 2)→(0, 0, 0) x² + y² + z4 19. yz 20. lim (x, y, z)→(0, 0, 0) x² + 4y² + 9z²
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning