# horizontal asymptote

• Jan 15th 2008, 01:53 PM
rlarach
horizontal asymptote
16. Find the horizontal assymptote of f(x) = 12/(3-2e^(-4x))
• Jan 15th 2008, 02:51 PM
mr fantastic
Quote:

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 = ......