30 - L'hopital2

30 - L'hopital2 - x-1 sin x Ex lim x → x-x Limits...

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L’Hopital’s Rule Continued L’Hopital’s Rule refers to limits whose result is 0 0 ±or ± . L’Hopital’s Rule: If lim x a f ( x ) 0 lim x a g ( x ) or if lim x a f ( x ) lim x a g ( x ) then lim x a f ( x ) g ( x ) lim x a f ( x ) g ( x ) Suppose we want to find lim x 0 1 x - 1 sin x . The limit is - . We must rewrite the limit as a quotient of the form f ( x ) g ( x ) . lim x 0 1
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Unformatted text preview: x-1 sin x Ex. lim x → x-x Limits involving powers ,±1 ,± Ex. lim x → a f ( x ) g ( x ) Ex. lim x → cos x 1 x 2 Ex. lim x → x x Ex. lim x → 1 3 x 5 x 2 x Do: lim x → 1 + sin 4 x cot x...
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This note was uploaded on 10/16/2009 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.

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30 - L'hopital2 - x-1 sin x Ex lim x → x-x Limits...

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