1001_3.6_Lab_14

1001_3.6_Lab_14 - x " a lim f ( x ) g ( x ) is...

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CALCULUS 1 LAB 14 NAME: ___________________PARTNER: _________________ 3.6 L’Hopital’s Rule; Indeterminate Forms GSA:______________________Lab Time: ____________ Guidelines for using L’Hopital’s Rule: 1: 0 0 , " " # Apply L’Hopital’s Rule. 2 : 0 " # $ Invert one term to the denominator. 3 : 1 " ,0 0 , " 0 # Use ln , then take the limit. 4 : " #" $ Find a common denominator or multiply by the conjugate, etc. L’Hopital’s Rule: If
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Unformatted text preview: x " a lim f ( x ) g ( x ) is in the form or ! ! , then x " a lim f ( x ) g ( x ) = x " a lim # f ( x ) # g ( x ) if it exists. Find the limit for the following: 1. a) x " 1 lim ln( x ) x # 1 b) x " lim sin # 1 (3 x ) x 3 2. a) x " + # lim ln( x ) x b) x " + # lim x 2 e $ 5 x 3. a) x " + # lim 2 x sin( $ / x ) b) x " 1 + lim ( 2 ln( x ) # 1 x # 1 ) 4. x " + lim (1 + 2 x ) # 1 x...
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