e1-davis 408d

# 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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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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