The limit of the functions are ,  and .

(a)

Find .

Sum law of limit : .

Constant multiple law of limit : .

.

(b)

Find .

Power law of limit : .

.

(c)

Find .

Root law of limit : .

.

(d)

Find .

Quotient law of limit : , if .

Constant multiple law of limit : .

.

(e)

Find .

Quotient law of limit : , if .

Here .

So  does not exist.

(f)

Find .

Quotient law of limit : , if .

Product law of limit : .

.

(a) .

(b) .

(c) .

(d) 

(e)  does not exist.

(f) .