# Using a fact to find a limit?

1. Dec 15, 2008

### islandboy401

Using a fact to find a limit??

If I were given a problem to find this limit:

using the fact that

how would I do it?

I know how to evaluate this limit using L'Hopital's Rule...but I am not to sure on evaluating using this "fact."

2. Dec 15, 2008

### Citan Uzuki

Re: Using a fact to find a limit??

Well, since x is not a variable in $$\left(\frac{n+4}{n-4}\right)^n$$, we have:

$$\lim_{x\rightarrow \infty} \left(\frac{n+4}{n-4}\right)^n = \left(\frac{n+4}{n-4}\right)^n$$.

Assuming you meant $$\lim_{n\rightarrow\infty}$$, start by substituting 1/x for n in the function, and take the limit of the result as $$x\rightarrow0^+$$.

P.S. this belongs in homework help.