(a)
\The expression is .
Substitute .
.
Consider .
.
Consider
.
Apply LHopital
s Rule.
LHopital
s Rule: If
or
then
.
Substitute in
.
Therefore, .
Graph :
\Graph of the function .
Observe the graph:
\The graph appears to be Horizontal tangent line at origin.
\Slope of the Horizontal tangent is zero.
\Hence .
Graph of the function is
.