§5 8–indeterminate forms and l'hôpital's rule

Mark Woodard

Informations

• Publié par: moudi
• Nombre de lectures: 167
• Langue: English

Extrait

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§5.8–IndetermintaferosmnaLdH’oˆtapisrl’eul

Mark Woodard

Furman U

Fall 2009

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The forms “0/0” and∞/∞ “ ”

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Examples

Indeterminate powers: “0 0 ”, “∞ 0 ” and “1 ∞ ”

Outline

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Indeterminate differenc “ ” es:∞ − ∞

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Indeterminate products: “0∙ ∞”

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Definition We say that the limit

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respectively. These are calledindeterminate.In this context,acan be any ofa + ,a − ,±∞.

lim f(x) x→a g(x) is of the form “0/0” or “∞/∞” if

limf(x) = limg(x lim or) = 0f(x) = limg(x) =±∞, x→a x→a x→a x→a

∞”d“∞/0”ans“0/ofmrTeh