T 39–44. Binomial series a. Find the first four nonzero terms of the binomial series centered at 0 for the given function. b. Use the first four nonzero terms of the series to approximate the given quantity. 39. f(x) = (1 + x)²; approximate 1/1.21 = 1/1.1?. 40. f(x) = V1 + x; approximate V1.06. 41. f(x) = V1 + x; approximate V1.12. %3D 42. f(x) = (1 + x)3; approximate 1/1.331 = 1/1.13. 43. f(x) = (1 + x)-2/3; approximate 1.18-2/3. 44. f(x) = (1 + x)/3; approximate 1.022/3.

T 39–44. Binomial series a. Find the first four nonzero terms of the binomial series centered at 0 for the given function. b. Use the first four nonzero terms of the series to approximate the given quantity. 39. f(x) = (1 + x)²; approximate 1/1.21 = 1/1.1?. 40. f(x) = V1 + x; approximate V1.06. 41. f(x) = V1 + x; approximate V1.12. %3D 42. f(x) = (1 + x)3; approximate 1/1.331 = 1/1.13. 43. f(x) = (1 + x)-2/3; approximate 1.18-2/3. 44. f(x) = (1 + x)/3; approximate 1.022/3.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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