another infinite sequence

Printable View

March 8th 2009, 04:33 PM
twilightstr

another infinite sequence

An= 2^n/(3^(n+1)) is the sequence convergent? if so, find the limit
March 8th 2009, 05:13 PM
Mentia

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

So you can probably evaluate:

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

All times are GMT -8. The time now is 07:13 AM.

Copyright © 2005-2013 Math Help Forum. All rights reserved.

Copyright © 2005-2013 Math Help Forum. All rights reserved.