22. lim (x, y)→(0,0) 1 - cos (xy) xy

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...
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Limits of Quotients
Find the limits in Exercises 13-24 by rewriting the fractions first.
x² - 2xy + y²
x² - y²
13.
15.
16.
17
18
20.
lim
X#v
lim
x#1
Tim
(x, y)→(2,-4) 2
(x, y) (00)
x+y=4
(x,
21. Tim
(x₂) (0,0)
Vat
4x² 4x
22.
x=y
2x=y=4
lim
(x, y)→(0,0)
1
cos (xy)
ху
Transcribed Image Text:Limits of Quotients Find the limits in Exercises 13-24 by rewriting the fractions first. x² - 2xy + y² x² - y² 13. 15. 16. 17 18 20. lim X#v lim x#1 Tim (x, y)→(2,-4) 2 (x, y) (00) x+y=4 (x, 21. Tim (x₂) (0,0) Vat 4x² 4x 22. x=y 2x=y=4 lim (x, y)→(0,0) 1 cos (xy) ху
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