The expression is .
Graph:
\Graph of is :
Observe the graph:
\As tends to
,The value of the limit approaches to
.
The expression is .
Consider .
Apply logarithm on each side.
\Evaluation of the limit.
\Let .
If then
.
LHospital
s Rule :
If the value of limit is indeterminate form of type or
, then
Since use L
Hospital
s rule.
Therefore, .
As tends to
,The value of the limit approaches to
.
.