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