$\"\"$

The sequence is $\"\"$ .

Graph:

Graph the function $\"\"$ .

$\"\"$

Observe the graph :

The sequence $\"\"$ is convergent to $\"\"$ .

$\"\"$

If a sequence $\"\"$ is convergent, then there exist $\"\"$ , where $\"\"$ is a constant.

The sequence is $\"\"$ .

$\"\"$ .

$\"\"$

Apply L-hospital rule :

$\"\"$

$\"\"$ .

Therefore $\"\"$ converges to $\"\"$ .

$\"\"$

Graph of the function $\"\"$ is

$\"\"$

The sequence $\"\"$ is convergent to $\"\"$ .