Answer
n = 59
Work Step by Step
As the value of n changes , so as the value of $a_{n}$ changes. By putting the values , you will get to know that $a_{n}$ increases from 0.052 to $1.23 \times 10^{29}$ and then decreases to zero. So the sequence an converges to zero. The limit is L = 0.
When n=58
$|a_{n}-L| = 0.0135 > 0.01 $
when n=59
$|a_{n}-L| = 0.0014 < 0.01 $
So, n = 59.
