CalcNotes0203-page3 - (Section 2.3 Limits and Infinity I...

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(Section 2.3: Limits and Infinity I) 2.3.3 As a consequence, the graph of y = 0 (i.e., the x -axis) is a horizontal asymptote (HA) for the graph of y = fx () . An asymptote is a line that a graph approaches; it is usually drawn as a dashed line. Note : The graph of y = 1 x is a “rotated” hyperbola, which is a type of conic section with two branches. The asymptotes of the hyperbola are the coordinate axes (the x - and y -axes). Using “Long-Run” Limits to Find Horizontal Asymptotes (HAs) The graph of y = has a horizontal asymptote (HA) at
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