The limit L of an alternating series that satisfies the conditions of Theorem 15 lies between the

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The limit L of an alternating series that satisfies the conditions of Theorem 15 lies between the values of any two consecutive partial sums. This suggests using the averageimage


to estimate L. Computeimage


as an approximation to the sum of the alternating harmonic series. The exact sum is ln 2 = 0.69314718 . . . .image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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