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Calculus, all content (2017 edition)

Course: Calculus, all content (2017 edition) > Unit 7

Lesson 11: Estimating infinite series
Math
Calculus, all content (2017 edition)
Series
Estimating infinite series
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Alternating series remainder

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Problem

sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, start fraction, left parenthesis, minus, 1, right parenthesis, start superscript, n, plus, 1, end superscript, divided by, n, cubed, end fraction
Using the alternating series error test, what is the least number of terms necessary to approximate the series to within plus minus, 0, point, 001 of the actual value?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
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