# Math Help - is this sequence of the type r^n.

1. ## is this sequence of the type r^n.

Would this sequence [(1+3/n)^4n] fall under the rule of r^n -1 < r < = 1. If so would it be convergent. If you take the limit it eventually becomes {(1+0)^4n}.

2. Originally Posted by swatpup32
Would this sequence [(1+3/n)^4n] fall under the rule of r^n -1 < r < = 1. If so would it be convergent. If you take the limit it eventually becomes {(1+0)^4n}.
you should be familiar with this limit ...

$\lim_{n \to \infty} \left(1 + \frac{k}{n}\right)^n = e^k
$