$\"\"$

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

The sequence is $\"\"$ .

$\"\"$

Note that the limit is of the form $\"\"$ .

Apply L $\"\"$ Hospital $\"\"$ s Rule :

So, L $\"\"$ Hospital $\"\"$ s Rule tells us that if we have an indeterminate form $\"\"$ or all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.

$\"\"$ .

$\"\"$

Thus, the sequence converges to $\"\"$ .

$\"\"$

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