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Question

Answer 1

Step 1:

(1)

The limit of the function is .

.

Step 2:

(2)

The limit of the function is .

.

Solution :

(1) .

(2) .

Answer 2

Step 1:

(3)

The limit of the function is .

.

Solution :

(3) .

Answer 3

Step 1:

(4)

The limit of the function is .

Consider the function is .

Construct the table for different values of near to 0.

Observe the table.

As tends to 0 from left side, approaches to .

.

As tends to 0 from right side, approaches to .

.

Left hand limit and right hand limits are not equal, so limit does not exist.

does not exist.

Solution :

(4) does not exist.

Answer 4

Step 1:

(5)

The limit of the function is .

.

Step 2:

(6)

The limit of the function is .

.

Solution :

(5) .

(6).