The sequence is
.
Find the first six terms of the sequence.
\If
then
.
If
then
.
If
then
.
If
then
.
If
then
.
If
then
.
The first six terms of the sequence are
.
The sequence is converges.
\Therefore,
.
Take natural logarithm on each side.
\



If
then
.
.
Apply L hospital rule.
\




.
Therefore, the sequence is converges to
.
The first six terms of the sequence are
.
The sequence is converges to
.