Math 1B Section 107 Quiz 7 Thursday 11 October 2007 GSI Theo Johnson Freyd http math berkeley edu theojf Name 1 True or False 1 pt each For each of the following statements decide if it is true or false You do not need to show work I will grade only your answers P P a Let s say 0 an bn and n 1 bn B If A B then n 1 an A and an bn for every n b If 0 an f n where f x is a continuous decreasing function on x 1 R P a such that 1 f x dx converges then n 1 n converges c If 0 an 2 and P n 1 sin an 1 diverges then P n 1 an diverges For the next two questions use either the Limit Comparison Test or the Integral Test to determine if the series converges or diverges Be sure to check that the series satisfies the conditions necessary for the test 2 3 pts X arctan n n2 ln n n 1 3 4 pts X n 3 1 n ln n ln ln n 2
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