Question

Determine f' (0) whether exists.

Answer 1

Step 1:

The function is .

The left hand limit at 0 :

              = 1                                                     ( Since )

The right hand limit at 0 :

              = 1

The left hand and right hand limits are equal.

.

So limit exist at , then  .

From the function .

.

Therefore, is not continuous at .

So does not exist.

Solution :

does not exist.