Question

What could be the equation of a horizontal asymptote of y=(x^2-4)/(2+x-4x^2). The answer is y=-1/4. How???

Answer 1

We can find horizontal asymptotes at the "ends" of a function.
So we want to employ the limit operation and see what happens as the function approaches positive or negative infinity.\[\Large\bf\sf \lim_{x\to\infty}\frac{x^2-4}{-4x^2+x+2}\]

Answer 2

Understand how to deal with limits like this?

Answer 3

ohh yes. since the highest powers are the same we look at the coefficents. which makes it -1/4

Answer 4

thankss

Answer 5

cool, gj \c:/