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##### Q.01

For the function g graphed in …. find Solution

**Solution:**

(a)

This is because as approaches o from the left side, approaches 3.

(b)

From the graph, we can see that as approaches o from the right side, approaches 3.

(c) Since

that is the left-hand limit and right-hand limit both are equal to 3, therefore

(d) , the value of at which is 3 .

##### Q.02

For which function graphed…. figure.

(b)

**Solution:**

It is clear from the graph(see book), as approaches to 0 from the left sides, the approaches to 0

.

(b)

From the figure(see book), we see that as approaches 0 from the right side, approaches 0.

(c)

(d) , the value of is zero at (see the graph in the book)

(c)

(d) , the value of is zero at (see the graph in the book)

##### Q.03

##### For the function graphed….. find…

**Solution:**

(a)

We see from the graph(see book), that as approaches 3 from the left side, the approaches -1.

(b)

As approaches 3 from the right sides, approaches 3.

(c)

(d) , the value of at .

(b)

As approaches 3 from the right sides, approaches 3.

(c)

that is the left-hand limit is not equal to the right-hand limit, therefore does not exist.

(d) , the value of at .

##### Q.04

##### For which function …. find

**Solution:**

(a)

As approaches to 2 from the left side, approaches to 2 ,

(b)

As approaches 2 from the right side, approaches 0.

(c)

(d) the value of at .

As approaches to 2 from the left side, approaches to 2 ,

(b)

As approaches 2 from the right side, approaches 0.

(c)

that is the left-hand limit and right-hand limit are not same, therefore does not exist.

(d) the value of at .