$\"\"$

The sequence is $\"\"$ .

Graph :

Graph the function $\"\"$ .

$\"\"$

Observe the graph :

The sequence does not approaches to a particular value.

Hence, the sequence diverges.

$\"\"$

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

The sequence is $\"\"$ .

$\"\"$

The value of $\"\"$ is does not exist.

Thus, the sequence is divergent.

$\"\"$

The sequence is divergent.