[See Steps] If f(x)=(x)/(1-x) Find the power series for f(x) and use this to find the power series for f^prime(x) What is the interval of convergence for f(x)


Question: If

\[f(x)=\frac{x}{1-x}\]
  1. Find the power series for \(\mathrm{f}(\mathrm{x})\) and use this to find the power series for \(\mathrm{f}^{\prime}(\mathrm{x})\)
  2. What is the interval of convergence for \(f(x)\) and \(f^{\prime}(x)\) ?

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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