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AMS 161-Final Exam-Fall 2015 NAME:____________________ *Each numbered question is worth 20 points. SHOW ALL WORK! () c) (oUt jmCe cLL IA I 1. Determine if each converges or diverges. If convergent and geometric, find the sum: /o “I n=1 tAj J I I\- ± i I ) 1 b) TL=l (x ) () ) ) _ / (‘ 1 (
3. Find the Maclaurin series for cos(x 3 ) and use the ratio test to determine the interval of convergence vo ) ) Z Iv )) / 3)2I (-1) ( ) ) (C)) -y / ( (-‘p (fi)(Z) , H) 4
C ‘—I 4 7 0 7< N 21 r)
Q —c : ; I ) 1- 2< 7c ) < \ 7 < _ I L ( 1 f l - - - ? L ) 7 (

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