How do you find the vertical, horizontal or slant asymptotes for ( x + 1)/(x - 1)?

Mar 31, 2016

$f \left(x\right) = \frac{x + 1}{x - 1}$
• To find the horizontal asymptote, you can substitute in very large positive and/or negative values for x: f(1000) = $\frac{1001}{999} \approx 1.002$ and subsequently larger numbers will produce numbers even closer to 1.