Unformatted text preview: etc., since you will not be allowed to use one on the exams. 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 suﬃciently 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 . 1...
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 Spring '11
 RUSIN
 Calculus, Limit, text excercises, lim xe1/x

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