Limits Involving Infinity Definition: y = b is a horizontal
asymptote if either lim f(x) = b or lim f(x) = b x x - Find: lim =
sin(x) x x Definition: x = a is a vertical asymptote if either lim
f(x) = or lim f(x) = x a-x a- x a+x a+
Slide 4
Limits Involving Infinity End Behavior Models: f(x) = 3x 4 +
g(x) = 3x 4 For very large values of x, these two functions are
quite similar. f(x) = Same as f(x) = x 2 g(x) = Same as g(x) = h(x)
= Same as h(x) = 2x 5 + 3x 3 + 2x 3 + 3x 3 + 4x 2 + 2x 3 + 2323
2323 2x2x
