MATH 420 Midterm: MATH 420+507 2015 Winter Test 1

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31 Jan 2019
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This nal exam has 4 questions on 10 pages, for a total of 100 marks. Student conduct during examinations: each examination candidate must be prepared to produce, upon the request of the invigilator or examiner, his or her. None of the following are allowed: documents, cheat sheets or electronic devices of any kind (including calculators, cell phones, etc. : you may not leave during the rst 30 minutes or nal 15 minutes of the exam. If yes, explain why; if no, give a does it follow that (t counterexample. Page 4 of 10 (c) let (x, m, ) be a measure space, and let f and fn, n = 1, 2, . , be measurable functions x [0, ) such that fn(x) f (x) for all x x. If yes, explain why; if no, give a counterexample. (d) let (x, m, ) be a measure space, and let f and fn, n = 1, 2, .