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M408D Exam 1 c - Exam 1 a Show Work 1(40 points Compute the...

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Exam 1 a Show Work!! 1)(40 points) Compute the following limits a ) lim x →∞ ln x x b ) lim x →∞ x 1 x c ) lim x →∞ xe - x d ) lim n →∞ parenleftbigg 1 - 1 2 n parenrightbigg 3 n 2)(60 points) Do the following converge or diverge? Why? a ) summationdisplay n =1 ( - 1) n n 1 n b ) summationdisplay n =1 1 n 3 n +1 c ) summationdisplay n =1 n 2 + 2 n n 3 - 1 d ) summationdisplay n =1 1 n 2 + 2 n
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%" -;4> ?7 4 5;9 9;#8:6 2; :! 4=6 4 01>;9 ? 49#+ ,;:38? 8;:0 9 9 #+ /7 #+ ! # ! $" & & % $ & " . 8:3 ?7 4 =038 > ;5 2;:! 4=6 4:2 4 ;5 ?7
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