Solved: Using a Power Series In Exercises 3538, use the power series Find the series
Chapter 9, Problem 36(choose chapter or problem)
Using a Power Series In Exercises 35-38, use the power series
\(\frac{1}{1-x}=\sum_{n=0}^{\infty} x^{n}, \quad|x|<1\)
Find the series representation of the function and determine its interval of convergence.
\(f(x)=\frac{x}{(1-x)^{2}}\)
Text Transcription:
1 / 1 - x = sum_{n = 0}^{infty} x^{n}, |x| < 1
f(x) = x / (1 - x)^2
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