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Solution: Remainders in alternating series Determine how
Chapter 10, Problem 34E(choose chapter or problem)
25-34. Remainders in alternating series Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than \(10^{-4}\). Although you do not need it, the exact value of the series is given in each case.
\(\frac{\pi \sqrt{3}}{9}-\frac{\ln 2}{3}=\sum_{k=0}^{\infty} \frac{(-1)^{k}}{3 k+2}\)
Questions & Answers
QUESTION:
25-34. Remainders in alternating series Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than \(10^{-4}\). Although you do not need it, the exact value of the series is given in each case.
\(\frac{\pi \sqrt{3}}{9}-\frac{\ln 2}{3}=\sum_{k=0}^{\infty} \frac{(-1)^{k}}{3 k+2}\)
ANSWER:Problem 34ERemainders in alternating series Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 104. Although yo