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WZ
Numerade Educator

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Problem 52 Medium Difficulty

(a) Expand $ 1/\sqrt[4]{1 + x} $ as a power series.

(b) Use part (a) to estimate $ 1/\sqrt [4]{1.1} $ correct to three decimal places.

Answer

a. $\sum_{n=1}^{\infty}\left(\frac{-\frac{1}{4}}{n}\right) x^{n}$
b. 0.976

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Video Transcript

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