Module 4 : Local / Global Maximum / Minimum and Curve Sketching
Lecture 12 : Asymptoes [Section 12.1]
where is a polynomial with . Since, as or as ,
we get ,
i.e., the line will an asymptote, both from left and right, to the curve . Note that, if , then , and we obtain a horizontal asymptote.
Click here to see interactive visualization :Applet 12.1
is a polynomial with 
. Since, 
as 
or as 
, 
, 
will an asymptote, both from left and right, to the curve 
. Note that, if 
, then 
, and we obtain a horizontal asymptote. 
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