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Unformatted text preview: Feel free to discuss these problems with your classmates. However, each student must write up his or her own solution. If you are relying heavily on help from others to complete these assignments, it is an indication that you have not suciently understood the material. For problems 1 and 2, evaluate each limit or explain clearly why it does not exist. 1. lim x xe 1 /xx 2. lim x 1 x 3 Z x sin( t 2 ) dt 3. Evaluate Z 1 e 1 /x x 3 dx or show that it diverges. 4. For what values of a is Z e ax cos xdx convergent? Evaluate the integral for those values of a . 5. Is the sequence { ln( n + 1)ln( n ) } monotone? Is it bounded? Find the limit of the sequence or show that it doesnt exist. 1...
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This note was uploaded on 03/19/2009 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas at Austin.
 Spring '07
 Sadler

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