Question

Use the graph shown to determine if the limit exists.If it does,find its value.

Answer 1

Step 1 :

Definition of limit : if and only if and .

Step 2 :

Observe the graph of the function :

As x  tends to 2 from the left side, approaches to 4.

.

As x  tends to 2 from the right side, approaches to 4.

.

So conclude that, .    (From the definition of limit)

Solution :

.