MATH-0042 Midterm: midterm1sol

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9 Jan 2019
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For each problem, you should write down all of your work carefully and legibly to receive full credit. When asked to justify your answer, you should use theorems and/or mathemat- ical reasoning to support your answer, as appropriate. There are four pages of blank paper at the end of the exam. Please use them for any scratch work and include them with your exam when you turn it in. 2: (short answer) you do not have to justify your answer to the following questions, (2 pts. ) For what values of p does the sequence {1/np} converge? p 0. For p > 0, it converges to 0. For p = 0, it converges to 1: (2 pts. ) For what values of p does the series. 1/np converge? p > 1: (2 pts. ) (true or false) if z . 1 g(x) dx both converge, then z .