\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For \(f(x) = \frac{1}{1 - x}\) on \(\,]-\infty, 1[\), compute the Taylor polynomial of order \(n\) at \(a = 0\) and the integral remainder. Use this to express \(1/(1-x)\) in series-like form.
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