# Math Help - horizontal asymptote

1. ## horizontal asymptote

16. Find the horizontal assymptote of f(x) = 12/(3-2e^(-4x))

2. Originally Posted by rlarach
16. Find the horizontal assymptote of f(x) = 12/(3-2e^(-4x))
Consider the limiting value of y as x --> +oo:

$y \rightarrow \frac{12}{3 - 2 (0)} = \frac{12}{3} = 4$ since $e^{-4x} \rightarrow 0$ as x --> +oo.

Therefore the equation of the horizontal is y = ......