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Thread: horizontal asymptote

  1. January 15th 2008, 12:53 PM #1
    rlarach
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    Lightbulb horizontal asymptote

    16. Find the horizontal assymptote of f(x) = 12/(3-2e^(-4x))
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  2. January 15th 2008, 01:51 PM #2
    mr fantastic
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    Quote Originally Posted by rlarach View Post
    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 = ......
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