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