$\"\"$

\

The limit of the function is $\"\"$ .

\

$\"\"$ definition of limit :

\

$\"\"$ ,

\

if for every number of $\"\"$ , there exists a $\"\"$ such that $\"\"$ whenever $\"\"$ .

\

From the definition, if $\"\"$ then $\"\"$ .

\

$\"\"$

\

Consider $\"\"$

\

$\"\"$

\

$\"\"$

\

Consider $\"\"$

\

$\"\"$ .

\

Observe the relation between two absolute values $\"\"$ and $\"\"$ .

\

Here $\"\"$ .

\

$\"\"$

\

When $\"\"$ then $\"\"$ .

\

Therefore $\"\"$ .

\

When $\"\"$ then $\"\"$ .

\

Therefore $\"\"$ .

\

When $\"\"$ then $\"\"$ .

\

Therefore $\"\"$ .

\

$\"\"$

\

When $\"\"$ then $\"\"$ .

\

When $\"\"$ then $\"\"$ .

\

When $\"\"$ then $\"\"$ .