$\"\"$

The sequence is $\"\"$ .

Divide the sequence into two subsequences as odd numbered terms and even numbered terms.

Odd number subsequence :

$\"\"$ .

Even number subsequence :

$\"\"$ .

We can observe that the limit of both the subsequences is $\"\"$ as $\"\"$ .

Therefore the limit of sequence is also $\"\"$ .

$\"\"$

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