EXAMPLE 5 Binomial series Consider the function f(x) = V1 + x. a. Find the first four terms of the binomial series for f centered at 0. b. Approximate V1.15 to three decimal places. Assume the series for f converges to f on its interval of convergence, which is [-1, 1]. QUICK CHECK 6 Use two and three terms of the binomial series in Example 5 5 to approximate VT.I.<

EXAMPLE 5 Binomial series Consider the function f(x) = V1 + x. a. Find the first four terms of the binomial series for f centered at 0. b. Approximate V1.15 to three decimal places. Assume the series for f converges to f on its interval of convergence, which is [-1, 1]. QUICK CHECK 6 Use two and three terms of the binomial series in Example 5 5 to approximate VT.I.<

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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