The function is .

Graph the function:

Observe the graph:

As tends to from left, the function approaches to .

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The function is .

When approaches to from the left , is a small negative number .

Thus , the quotient is a large negative number and approaches negative infinity from the left .

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decreases without bound as approaches from the left.

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 left, the function approaches to .

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