e1-davis 408d - Exam 1 a Show Work!! 1)(40 points) Compute...

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Unformatted text preview: Exam 1 a Show Work!! 1)(40 points) Compute the following limits a ) lim x x 2 + 1 x 2 b ) lim x + x 1 ln x c ) lim x + x ln( x ) d ) lim n ( n- 2) 2 n n 2 n 2)(60 points) Do the following converge or diverge? Why? a ) n =1 (- 1) n n n + 1 b ) n =3 n (ln n ) n c ) n =1 n- 1 n + 3 d ) n =1 1 n 2 + ln n Exam 1 b Show Work!! 1)(30 points) Compute the following limits a ) lim x e x- 1 x 2 b ) lim x x 1 ln x c ) lim n ( n- 1)( n- 2)( n + 3) n 3 + n 2- n + 1 2)(70 points) Do the following converge or diverge? Why? a ) n 2 n 3 + 1 c ) 1 n + 2 n d ) n 2 ( n !) 2 *24- 91. 7+-2:8 5/ ,54;.70.4,. 5/ 91. /5335<240( ! $ $! ' & % ! $ ' $! ! & ! $ ' & *24- + 65<.7 8.72.8 /57 91. /5335<240( ! % ! $' $ $ ' ! ! ! ! $' $ " ' " ("!(, #$=%&'" 1=%8 &<9 )58=*' $: 7$%+9);9%79 $: " & ! '-" ! . ! ."!(, #$=%&'" /<97> 0<9&<9) &<9 :$?$0=%; 8=+9);9'2 7$%+9);9' 56'$3 ?*&9?42 $) 7$%+9);9 7$%8=&=$%5??4@ A$9' &<9 '* ! (" ! ! ! ! 5" A=+9);9B 6" /$%+9);9 56'$?*&9?4B 7" /$%+9);9 /$%8=&=$%5??4B +" /9;4 85 >149)? <6 3<;$5>75;35 <6 85 6<::<#9;7= !...
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This note was uploaded on 09/26/2010 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas at Austin.

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e1-davis 408d - Exam 1 a Show Work!! 1)(40 points) Compute...

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