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Question

find the limit of;

 

Answer 1

(1)
Step 1 :

Observe the graph.

Left hand limit :

As x tends to from left side, approaches to .

Right hand limit :

As x tends to from right side, approaches to .

Left hand limit and right hand limit are equal, so limit exist.

Therefore, .

Solution :

.

Answer 2

(2)

Step 1 :

The limit expression is.

Rewrite the above expression as .

Therefore, .

Solution :

.