Writing In Exercises 41 44, explain how to use the geometric series to find the series

Chapter 9, Problem 41

(choose chapter or problem)

Writing In Exercises 41 - 44, explain how to use the geometric series

\(g(x)=\frac{1}{1-x}=\sum_{n=0}^{\infty} x^{n}, \quad|x|<1\)

to find the series for the function. Do not find the series.

\(f(x)=\frac{1}{1+x}\)

Text Transcription:

g(x) = 1 / 1 - x = sum_{n = 0}^{infty} x^{n}, |x| < 1

f(x) = 1 / 1 + x

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