Answer: Using a Power Series In Exercises 1726, use the power series to determine a
Chapter 9, Problem 19(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.
\(f(x)=-\frac{1}{(x+1)^{2}}=\frac{d}{d x}\left[\frac{1}{x+1}\right]\)
Text Transcription:
1 / 1 + x = sum_{n = 0}^{infty}(-1)^{n} x^n
f(x) = -1 / (x + 1)^2 = d / dx [1 / x +1]
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