Transcribed Image Text: Which of the following expressions are true for the limits :
(x³ +y*).si
1
.sin-
x’ +y
3x’y?
2x-y
III.
I.
(х, у) —Ҳ0,0)
П.
lim
lim
4
(x,y)(0,0) x* +2y*
(x,y)→(0,0) 2+2x+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
III: Limit exists and the value is
3
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
2
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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