Calculus Section 2.4
Find limits of functions at infinity
2x + 1
2x + 1
Theorem:
=0
when n is a positive integer
Note: The horizontal asymptote of a rational
function f(x) is the
Find the limit
General Rule for finding limits of rational functions as x
approaches infinity
=
a/b if n = m
± infinity if n>m
Zero if n<m
Find the limits
Find the horizontal asymptotes
f(x) =
g(x) =
assignment
• Page 88
• Problems 6 – 36 even