Shifted p-series Consider the sequence 5Fn6 defined by Fn
Chapter 8, Problem 68(choose chapter or problem)
Shifted p-series Consider the sequence 5Fn6 defined by Fn = a _ k = 1 1 k1k + n2 , for n = 0, 1, 2, c. When n = 0, the series is a p-series, and we have F0 = p2>6 (Exercises 65 and 66). a. Explain why 5Fn6 is a decreasing sequence. b. Plot 5Fn6, for n = 1, 2, c, 20. c. Based on your experiments, make a conjecture about lim nS_ Fn.
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