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Evaluate
Solution:
Consider the given equation above
Substitute the value of x to the above equation, we have
Since the final answer is ∞ - ∞, then it is Indeterminate Form which is not accepted as a final answer in Mathematics. We cannot use the L'Hopital's Rule because L'Hopital's Rule is applicable only for Indeterminate Forms like 0/0 and ∞/∞. The above equation must be rewritten and expressed into another form until the Indeterminate Form is 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 0/0, then we can apply the L'Hopital's Rule as follows
Substitute the value of x to the above equation, we have
Therefore,
