Solution: Using a Power Series In Exercises 1726, use the power series to determine a

Chapter 9, Problem 20

(choose chapter or problem)

Using a Power Series In Exercises 17-26, use the power series

\(\frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}\)

to determine a power series, centered at 0, for the function. Identify the interval of convergence.

\(f(x)=\frac{2}{(x+1)^{3}}=\frac{d^{2}}{d x^{2}}\left[\frac{1}{x+1}\right]\)

Text Transcription:

1 / 1 + x = sum_{n = 0}^{infty}(-1)^{n} x^n

f(x) = 2 / (x +1)^3 = d^2 / dx^2 [1 / x + 1]

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