m232practicetest1key

N 2 n 6 2 cos converges to 2 2 20 n

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Unformatted text preview: 5 ) ln ( 6 ) ( " 5! n 2 + n + 6 % , 2 * * )cos $ ' - converges to 2 2 * # 20 n + ! & * + . 2. (f) ee ee ! , , ! , , ... converges to 0 23 45 Evaluate each limit w ithout using a calculator. # ln ( x ) & 1 lim % 3 ( = x !1 $ x " 1 ' 3 (a) #1& lim % cos( x ) ( does not exist x! " $ e ' (d) # ln ( ln ( x )) & lim % ( =0 x ! " $ ln ( x ) ' (c) 3. (b) 1 1/ 1" x lim x ( ) = x !1 e ( ) Find the sum (if it exists) for the given infinite series. Y OU MUST SHOW YO...
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This note was uploaded on 10/28/2013 for the course MATH 232 taught by Professor Xiaofeng during the Fall '08 term at UNC.

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