Unformatted text preview: { a n } are of the form 1 ± √ 29 2 . Use the fact below, to prove that the limit lim n →∞ a n exists and compute its value. Fact. A bounded monotonic sequence converges. Do Problems [3.1], [3.2], [3.11], 3.25, 3.26, 3.32, 3.33+, 3.36, 3.41+. Problem A. If two numbers between 1 and 100 are picked at random, what is the probability that the numbers diﬀer by 15? Problem B. If a fair coin is tossed 3 n times determine the probability the number of heads is twice the number of tails? 1...
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 Winter '07
 Peche
 Math, Combinatorics, Probability theory, Order theory, Monotonic function, monotonic sequence converges, ANDREW BERGET

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