What are the horizonatal asymptotes of y=(1000)/(1+9e^(-.1656x))?
To find the horizontal asymptotes, find the limits of:
lim x->∞ (1000)/(1+9e^(-.1656x))
and
lim x->-∞ (1000)/(1+9e^(-.1656x))
For example, as x->&infin,
y=(1000)/(1+9e^(-∞))
=(1000)/(1+0)
=1000
Similarly, as x->-∞, the denominator becomes infinitely large, so the asymptote is at y=0.