# Math Help - Question about convergence of sequence

1. ## Question about convergence of sequence

say $\displaystyle a_n=(0.999)^{n^4}$, what is the limit as $n$ goes to $\infty$?

2. Originally Posted by crossbone
say $\displaystyle a_n=(0.999)^{n^4}$, what is the limit as $n$ goes to $\infty$?
$\displaystyle\lim_{n\to\infty}\left(\frac{999}{100 0}\right)^{n^4}$

The denominator, bottom, will grow faster so the limit is 0