Algebra
I need the horizontal asymptote for
f(x) = (x)/(x^2 -4)
Can someone please show me. I already figured out that
The y-intercept is 0.
The vertical asymptotes are x = -2, x = 2
So now all i need is horizontal asymptote for
f(x) = (x)/(x^2 -4)
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Answers
The horizontal asymptote of a rational function f(x) = (p(x))/(q(x)) is a straight line of the form y = b where b is equal to the ratio of the leading coefficients of p(x) and q(x). In this case, p(x) has a leading coefficient of 1 and q(x) has a leading coefficient of 1, so their ratio is also 1, and thus the horizontal asymptote is y = 1.
