Where is f(x) = lim(x^(2n) - 1)/(x^(2n) + 1) continuous?

[Calcotron]

Well, my first question was answered so I figured I would post the second problem I had problems with. It is:

$$f(x) = lim _{n->\infty}\frac{x^{2n} - 1}{x^{2n} + 1}$$

Where is f continuous? My first thought is that it is continuous everywhere since I can't find an x value that would make the bottom part of the fraction 0. Isn't that function 1 at for $$\infty < x \leq-1$$ or $$1 \leq x < \infty$$ and -1 otherwise?

 

[Calcotron]

Lol, let's just pretend this question never happened ok?

 

[cristo]

I take it that means you've solved the question then?