# Limit of sequence (2)

## Homework Statement

Find the limit of this sequence

An =$\frac{n^{n}}{(n+3)^{n+1}}$

## The Attempt at a Solution

thank you

Related Calculus and Beyond Homework Help News on Phys.org
$$\ln \frac{a}{b}≠\frac{\ln a}{\ln b}$$

The correct property is:
$$\ln \frac{a}{b}= ln a-\ln b$$

Anyways, instead of taking log on both the sides, you can factor out n from denominator.

Anyways, instead of taking log on both the sides, you can factor out n from denominator.
Sorry I cannot see how n can factor out from denominator

like this ??

http://postimage.org/image/7cqb5oowp/ [Broken]

Thanks

Last edited by a moderator:

$$\lim_{n→∞} \frac{1}{n+3} \left( \frac{1}{1+\frac{3}{n}} \right)^n$$