The limit L of an alternating series that satisfies the conditions of the Alternating Series Test lies between the values of any two consecutive partial sums. This suggests using the (-1) to estimate L. Compute 520 + as an approximation of the alternating harmonic series. The exact sum is In 2-0.69314718 average 2 1 1 520 (Simplify your answer. Round to six decimal places as necessary)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
Question
The limit L of an alternating series that satisfies the conditions of the Alternating Series Test lies between the values of any two consecutive partial sums. This suggests using the
(-1) to estimate L. Compute 520 + as an approximation of the alternating harmonic series. The exact sum is In 2-0.69314718
average
2
1 1
520 (Simplify your answer. Round to six decimal places as necessary)
Transcribed Image Text:The limit L of an alternating series that satisfies the conditions of the Alternating Series Test lies between the values of any two consecutive partial sums. This suggests using the (-1) to estimate L. Compute 520 + as an approximation of the alternating harmonic series. The exact sum is In 2-0.69314718 average 2 1 1 520 (Simplify your answer. Round to six decimal places as necessary)
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