Solved: The harmonic series 1 + 1 2 + 1 3 + 1 4 + diverges, but the sequence n = 1 + 1 2
Chapter 1, Problem 18(choose chapter or problem)
The harmonic series 1 + 1 2 + 1 3 + 1 4 + diverges, but the sequence n = 1 + 1 2 ++ 1 n ln n converges, since {n} is a bounded, nonincreasing sequence. The limit = 0.5772156649 ... of the sequence {n} is called Eulers constant. a. Use the default value of Digits in Maple to determine the value of n for n to be within 102 of . b. Use the default value of Digits in Maple to determine the value of n for n to be within 103 of . c. What happens if you use the default value of Digits in Maple to determine the value of n for n to be within 104 of ?
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