# Math Help - another infinite sequence

1. ## another infinite sequence

An= 2^n/(3^(n+1)) is the sequence convergent? if so, find the limit

2. $\frac{2^{n} }{3^{n+1} } = \frac{1 }{3 } \left ( \frac{2^{n} }{3^{n} } \right ) = \frac{1 }{3 } \left ( \frac{2 }{3 } \right ) ^{n}$

So you can probably evaluate:

$\lim_{n \rightarrow \infty } \frac{1 }{3 } \left ( \frac{2 }{3 } \right ) ^{n}$