3 Questions on the Hypothesis Testing - Quiz 6 | MAC 2312, Quizzes of Analytical Geometry and Calculus

Download 3 Questions on the Hypothesis Testing - Quiz 6 | MAC 2312 and more Quizzes Analytical Geometry and Calculus in PDF only on Docsity! Section: Name: MAC 2312 Quiz 5 10 Show all work, no calculators or cellphones. 1. Express 0.42 as a ratio of integers. 2. Determine whether ∞∑ n=2 1 n(ln n)2 converges or diverges. If you use a test, show that the series satisfies the hypotheses of that test. 3. (3 points bonus) Indicate whether each of the following statements are true or false. For true statements, state (in it’s entirety) the theorem which shows this. For false statements give a counter example. (a) Since an < bn for every n and ∑ bn converges, so does ∑ an. (b) 0 < an < 1 n for every n, so ∑ an diverges.