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Evaluate:
Solution:
To get the value of a given function, let's substitute the value of x to the above equation, we have
Since the answer is 0•∞, then it is an Indeterminate Form which is not accepted as a final answer in Mathematics. We cannot use the L'Hopital's Rule because the Indeterminate form is 0•∞. L'Hopital's Rule is applicable if the Indeterminate Form is either 0/0 or ∞/∞. We have to do something first in the given equation so that the Indeterminate Form becomes 0/0 or ∞/∞.
Let's rewrite the above equation as follows
Substitute the value of x to the above equation, we have
Since the Indeterminate Form is ∞/∞, then we can use the L'Hopital's Rule to the above equation as follows
Substitute the value of x to the above equation, we have
Therefore,
In this case, the above equation has no limit.