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Alternating series remainder

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Problem

n=1(1)n+1n3
Using the alternating series error test, what is the least number of terms necessary to approximate the series to within ±0.001 of the actual value?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
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