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Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k − 1)(k − 2) - 3! -x³ + 1 dx correct to three decimal places.

Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k − 1)(k − 2) - 3! -x³ + 1 dx correct to three decimal places.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Use the binomial series (x + 1)² = 1+ kx + for |x| < 1 to approximate I'VE 2 k(k − 1) - 2! -x² + k(k − 1)(k − 2) 3! x³ + + 1 dx correct to three decimal places.
Transcribed Image Text:Use the binomial series (x + 1)² = 1+ kx + for |x| < 1 to approximate I'VE 2 k(k − 1) - 2! -x² + k(k − 1)(k − 2) 3! x³ + + 1 dx correct to three decimal places.
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