Homework Help: Calculus: End Behaviour Model

1. Feb 24, 2005

ms. confused

For some reason I am having problems finding a power function end behaviour model for this question:

f(x)= (2x + 1)/(x^2 - 2x + 1)

Can someone help? Thanks.

2. Feb 24, 2005

HallsofIvy

"End behaviour model"? That's not standard mathematical terminology is it?

$$f(x)= \frac{2x+1}{(x-1)^2}$$

That has y= 0 as a horizontal asymptote which is how I would be inclined to interpret "end behaviour".

3. Feb 24, 2005

Jameson

Yeah, I haven't heard of that either.

Does that mean:

$$\lim_{x\rightarrow{\infty}}$$ and $$\lim_{x\rightarrow{-\infty}}$$ ?