Question: Consider the infinite sum S = n 2 n=1 It is known that the value of this series is . Using a computer, you find

Consider the infinite sum S = n 2 n=1 It is

Consider the infinite sum S = n 2 n=1 It is known that the value of this series is . Using a computer, you find that the 99th partial sum of the series is equal to 99 S99 = _ 2 2 = 1.634883900... n=1 a. Draw pictures which illustrate the following inequalities: OO C dx 2 2 100 2 2 n=100 E dx 2 n=100 99 b. Using the inequalities above, the computed value of S9g, and the known value of S, show that 3.14154

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