We explore functions whose graphs approach a nonhorizontal line as x . A line y =

Question:

We explore functions whose graphs approach a nonhorizontal line as x → ∞. A line y = ax + b is called a slant asymptote if

or lim (f(x) (ax+b)) = 0 X-00 lim (f(x) (ax + b)) = 0 X--0

Sketch the graph of

f(x) = 12 x + 1

Proceed as in the previous exercise to find the slant asymptote.

We explore functions whose graphs approach a nonhorizontal line as x → ∞. A line y = ax + b is called a slant asymptote if

or lim (f(x) (ax+b)) = 0 X-00 lim (f(x) (ax + b)) = 0 X--0

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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