(1) Step 1 :

exists.

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.

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(2) Step 1 :

The limit expression is.

Rewrite the above expression as .

Therefore,

Solution :

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