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2. Taylor series - Wikipedia

   en.wikipedia.org/wiki/Taylor_series

   The Taylor series of any polynomial is the polynomial itself.. The Maclaurin series of ⁠ 1 / 1 − x ⁠ is the geometric series + + + +. So, by substituting x for 1 − x, the Taylor series of ⁠ 1 / x ⁠ at a = 1 is