$\"\"$

The limit is $\"\"$ .

Definition 2:

A sequence $\"\"$ has the limit $\"\"$ and $\"\"$ , if for every $\"\"$ there is a corresponding integer $\"\"$ such that

if $\"\"$ then $\"\"$ .

Consider $\"\"$ .

$\"\"$

Apply logarithm on each side.

$\"\"$

$\"\"$ .

Let $\"\"$ .

The sequence $\"\"$ is strictly decreasing for any integer $\"\"$ .

Hence $\"\"$ .

$\"\"$

$\"\"$ .