(a)
The function is .
The limit expression is .
Substitute in .
The limit is
Evaluation of the limit.
.
Therefore, .
(b)
The function is .
The limit expression is .
Substitute in .
The limit is .
Evaluate the limit.
LHospitals Rule :
If the value of limit is indeterminate form of type or , then
Since use LHospitals rule.
The product rule of derivaive : .
Since use LHospitals rule.
Therefore, .
(a) .
(b) .
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