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Unformatted text preview: Outline Limits as x Asymptotes Math 1205 2.4: Limits at 2.5: Asymptotes Heath David Hart Fall 2007 Heath David Hart Math 1205 2.4: Limits at 2.5: Asymptotes Outline Limits as x Asymptotes Review Table of Contents: Notes for Day 6: 2.5: Asymptotes Review Limits as x Definition Rational Function Rule Asymptotes Horizontal Asymptotes Vertical Asymptotes Oblique Asymptotes Heath David Hart Math 1205 2.4: Limits at 2.5: Asymptotes Outline Limits as x Asymptotes Review Review Last time, we discussed onesided limits in more depth, and the limit lim sin = 1. Heath David Hart Math 1205 2.4: Limits at 2.5: Asymptotes Outline Limits as x Asymptotes Definition Rational Function Rule Limits as x We can consider limits of the form lim x f ( x ) or lim x  f ( x ) as special cases of onesided limits. Heath David Hart Math 1205 2.4: Limits at 2.5: Asymptotes Outline Limits as x Asymptotes Definition Rational Function Rule Limits as x These limits as x approaches or correspond exactly with horizontal asymptotes of the graph of f ( x ). If for some function f ( x ), lim x f ( x ) = L , then the function also has a horizontal asymptote at y = L . Heath David Hart Math 1205 2.4: Limits at 2.5: Asymptotes Outline Limits as x Asymptotes Definition Rational Function Rule Example 6a*: lim x 1 x ....
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 Fall '08
 FBHinkelmann
 Calculus, Asymptotes, Limits

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