The function is .

Graph the function:

Observe the graph:

As  tends to  from the right hand side, the function approaches to .

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The function is .

Factorize the denominator.

Cancel the common terms.

When we approaches  from the right ,  is a small positive number .

Thus , the quotient  is a large positive number and  approaches infinity from the right .

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 increases without bound as  approaches  from the right.

We can verify the limit by the below table .

A limit in which  increases or decreases without bound as  approaches  is called an infinite limit.

As  tends to  from the right hand side, then the limit approaches to .

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