7.6-LHospital

7.6-LHospital - MthSc 108-Learning Activity Section 7.6:...

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Unformatted text preview: MthSc 108-Learning Activity Section 7.6: Indeterminate Forms and LHopitals Rule Solutions 1. lim x x ln x x + ln x = lim x ln x + 1 1 + 1 x = + 1 1 + = Thus lim x x ln x x + ln x = and the limit does not exist. 2. lim x - x- ( ) tan x 2 type lim x - x- ( ) tan x 2 2 2 1 1 2 csc 2 1 1 lim 2 cot lim 2- =- = - = - =- - x x x x x lim x - x- ( ) tan x 2 = - 2 3. lim 1 1- cos - 2 sin 2 type - lim 1 1- cos - 2 sin 2 - - + + = 2 sin 2 cos 1 1 cos 1 cos 1 lim cos 2 1 lim cos sin 2 sin lim sin 1 cos lim sin 2 cos 1 cos 1 lim 2 2 2- =- = - = - - + =...
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This note was uploaded on 01/30/2011 for the course MTHSC 108 taught by Professor Any during the Spring '08 term at Clemson.

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7.6-LHospital - MthSc 108-Learning Activity Section 7.6:...

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