Which of the following expressions are true for the limits : 3x²y? 2x-y 1 I. (x³ +y°).sin- II. lim (х,у)-Х0,0) х* +2y* lim III. lim (x,y)→(0,0) (x,y)→(0,0) 2+2*+y (a) I: Limit exists and the value is 1 (b) I: Limit does not exist II : Limit does not exist II: Limit does not exist 1 III : Limit exists and the value is 3 1 III: Limit exists and the value is 3 (c) I: Limit exists and the value is 0 (d) I: Limit exists and the value is 0 II: Limit exists and the value is 1 II: Limit does not exist III : Limit exists and the value is III: Limit exists and the value is 3 (e) I:Limit does not exist II: Limit does not exist III : Limit does not exist

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Question
Which of the following expressions are true for the limits :
3x?y?
2x-y
1
(x³ +y*).sin-
I.
II.
III.
lim
(x,y)→(0,0) 2+2x+y
lim
lim
(х, у)-0,0)
x'+y
(х.у) -Х0,0) х* + 2y*
(a) I: Limit exists and the value is 1
(b) I: Limit does not exist
II: Limit does not exist
II: Limit does not exist
1
III: Limit exists and the value is
3
1
III: Limit exists and the value is
3
(c) I: Limit exists and the value is 0
(d) I: Limit exists and the value is 0
II: Limit exists and the value is 1
II: Limit does not exist
1
III : Limit exists and the value is
III: Limit exists and the value is
3
(e) I: Limit does not exist
II: Limit does not exist
III : Limit does not exist
Transcribed Image Text:Which of the following expressions are true for the limits : 3x?y? 2x-y 1 (x³ +y*).sin- I. II. III. lim (x,y)→(0,0) 2+2x+y lim lim (х, у)-0,0) x'+y (х.у) -Х0,0) х* + 2y* (a) I: Limit exists and the value is 1 (b) I: Limit does not exist II: Limit does not exist II: Limit does not exist 1 III: Limit exists and the value is 3 1 III: Limit exists and the value is 3 (c) I: Limit exists and the value is 0 (d) I: Limit exists and the value is 0 II: Limit exists and the value is 1 II: Limit does not exist 1 III : Limit exists and the value is III: Limit exists and the value is 3 (e) I: Limit does not exist II: Limit does not exist III : Limit does not exist
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