408DF11assign1 - etc since you will not be allowed to use...

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M408D Fall 2011 Assignment 1 Due Friday, September 2 Be sure that you have read and understood sections 7.8, and 8.8 and worked the assigned text excercises before you complete this assignment. You must show sufficient work in order to receive full credit for a problem. Please write legibly and label the problems clearly. Circle your answers when appropriate. Multiple papers must be stapled together. Write your name and the time of your discussion section on each page. Homework is to be turned in at the beginning of the discussion section. You may use calculators for arithmetic. I strongly discourage you from using a calculator to do any algebraic simplification, differentiation, integration,
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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 /x-x 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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