$\"\"$

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

Sandwich therom also known as sqeeze therom states that if

$\"\"$ for $\"\"$ and if $\"\"$ , $\"\"$ then $\"\"$ .

$\"\"$

The sequence is $\"\"$ .

We know that $\"\"$ .

Therefore we can write $\"\"$ . \ \

$\"\"$

Therefore by Sandwich therom $\"\"$ .

$\"\"$

The sequence converges to $\"\"$ .