The limit expression is .
Consider the function as .
Graph the function .
Observe the graph:
\As approaches to
, the function approaches to
.
(b)
\Consider .
Apply LHospital
s Rule.
LHospital
s Rule: If
or
then
.
Apply LHospital
s Rule again.
Apply LHospital
s Rule again.
Therefore, .
(a)
\Graph of the function .
(b) .