$\"\"$

The sequence is $\"\"$ .

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

The sequence can be written as $\"\"$ .

$\"\"$ is a bounded function.

$\"\"$ .

Place the upper and lower bounds into inequality.

$\"\"$ .

Apply the limits.

$\"\"$

Sandwich therom also known as sqeezes therom states that if

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

$\"\"$

Therefore by squeezes therom $\"\"$ .

$\"\"$

The sequence converges to $\"\"$ .