Bekki George Lecture notes 10

f x f x if l then l g x g x noteitispossiblethat

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Unformatted text preview: ( 10.6%–%The%Indeterminant%Form%( ∞ / ∞ )% % All%Indeterminate%forms:% % % % L’Hopital’s%Rule:((( Suppose(that( f ( x) → ±∞ (and( g ( x) → ±∞ (( as( x → c +, x → c −, x → c, x → ∞ or( x → −∞ .( ( f ( x) f ' ( x) If( → L then( → L( g ( x) g ' ( x) ( (Note,(it(is(possible(that( L = ∞ or − ∞ )( ( Examples:( 1. For which of the following limits can L'Hopital's Rule be applied? DO NOT COMPUTE THE LIMIT. (A) (B) (C) (D) (E) % % % % % % Now,%for%the%ones%where%LR%applied%above,%g...
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