Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospital’s Rule if necessary.
To calculate: The limit .
Given: The provided function is .
Formula used: L’Hospital’s Rule.
Calculation: The limit can be evaluated as, use the direct substitution; put the value of x in the function.
Thus, this is an indeterminate form.
As direct substitution of limiting value results in the indeterminate form, which is form for the provided function
. Apply L’Hopital’s Rule for the indeterminate form as shown below:
After simplification it would results in
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