3. Use the Alternating Series Theorem to determine the number of terms needed in the Taylor expansion of In(1+x) about x = 0 for computing In 1.1 with error less than 1×10-8. Note ln(1 + x) = Σ% ₁(−1)k-¹æk .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 25RE
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3. Use the Alternating Series Theorem to determine the number of terms needed in the
Taylor expansion of ln(1+x) about x = 0 for computing In 1.1 with error less than 1×10-8.
Note In(1+x)= (-1)k-1.
Transcribed Image Text:3. Use the Alternating Series Theorem to determine the number of terms needed in the Taylor expansion of ln(1+x) about x = 0 for computing In 1.1 with error less than 1×10-8. Note In(1+x)= (-1)k-1.
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