(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.
\
.
LHospital
s Rule :
If the value of limit is indeterminate form of type or
, then
Since use L
Hospital
s rule.
The product rule of derivaive : .
.
Since use L
Hospital
s rule.
\
Therefore, .
(a) .
(b) .