CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
Asymptotes
The vertical line
x = a
is a vertical asymptote of the function
f
if the limit of
f(x)
as
x
goes to
a
from the right or from the left is equal to
or
.
To say that the limit of
f (x)
as x
goes to
a
from the right is equal to
∞,
which is written
as
means
that the values of
f(x)
become arbitrarily large if
x
is sufficiently close to, but greater than, the number
a.
The horizontal line
y =
c
is a horizontal asymptote of the function
f if the limit of
f(x)
as
x
goes to
or
is equal to
c.
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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.