$\"\"$

\

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 $\"\"$ .

\

Consider $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Graph :

\

Graph of the function $\"\"$ :

\

$\"\"$

\

Observe the graph.

\

The function lies in the interval $\"\"$ .

\

$\"\"$

\

Consider $\"\"$ .

\

$\"\"$ .

\

The function lies in the interval $\"\"$ .

\

$\"\"$

\

Compare $\"\"$ with $\"\"$ .

\

Here $\"\"$ value should be a smaller positive number.

\

Therefore $\"\"$ .

\

\

$\"\"$ .