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| PAGE: 89 | SET: Exercises | PROBLEM: 55 |
The function is 
.
Graph the function:
Observe the graph:
As 
tends to 
from the right hand side, the function approaches to 
.
.
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 
.
.
increases without bound as 
approaches from the right.
We can verify the limit by the below table .
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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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