MTH 133 Study Guide - Midterm Guide: Proctor, Ibm System P, Ratio Test

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12 Oct 2018
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Include enough steps for the grader to be able to follow your work. Include words to clarify your reasoning: do rst all of the problems you know how to do immediately. Do not spend too much time on any particular problem. Return to di cult problems later: you will be given exactly 90 minutes for this exam, if you have any questions please raise your hand and a proctor will come to you. I have read and understand the above instructions: No partial credit available: (5 points) evaluate: n lim n . 5n = 1: (5 points) evaluate as a simple formula: 1 e 4 = e4 e4 1 name of a test which justi es this. 32n converges / diverges because of nth-term test converges / diverges because of integral test converges / diverges because of comparison test. 3 points for each correct answer on converge/diverge. Note on (c) the ratio test also works: (7 points) is.