ex+y (²+x*)siny Зх - 2y П. lim III. lim (x,y)¬{0,0), lim 2 x* +y" (х.у) -0,0) 1+e*-у (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
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which of the following expressions are true?

3х - 2y
ex+y
I.
II.
III.
(x.y)-0,0)
(x² +y³)sin-
lim
lim
(x,y)-0,0),
x +y*
(х.у)-0,0) 1+е*-у
(a) I: Limit does not exist
(b) 1: Limit does not exist
II: Limit exists and the value is
II: Limit exists and the value is -
III : Limit exists and the value is 1
II:Limit exists and the value is 0
(c) I: Limit exists and the value is
(d) I: Limit does not exist
1
II: Limit exists and the value is
II: Limit exists and the value is
III : Limit exists and the value is 0
II: Limit does not exist
(e) I: Limit does not exist
II : Limit does not exist
III: Limit does not exist
Transcribed Image Text:3х - 2y ex+y I. II. III. (x.y)-0,0) (x² +y³)sin- lim lim (x,y)-0,0), x +y* (х.у)-0,0) 1+е*-у (a) I: Limit does not exist (b) 1: Limit does not exist II: Limit exists and the value is II: Limit exists and the value is - III : Limit exists and the value is 1 II:Limit exists and the value is 0 (c) I: Limit exists and the value is (d) I: Limit does not exist 1 II: Limit exists and the value is II: Limit exists and the value is III : Limit exists and the value is 0 II: Limit does not exist (e) I: Limit does not exist II : Limit does not exist III: Limit does not exist
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