The function is
.
The condition is :
\If
then
.
Find the value of
.
definition of limit :
,
if for every number of
, there exists a
such that
whenever
.
Compare the condition, if
then
with the
definition of limit.
Here
,
and
.
Observe the graph.
\
.
Consider
.

The function lies in the interval
.
\
Consider
.
.
The function lies in the interval
.

Compare
with
.
Here
value should be a smaller positive number.
Therefore
.
\
.