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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.1 The Geometric Series, #4 · Calculus · Series

Replace … by … in the geometric series to find a series…

Replace $x$ by $1 - x$ in the geometric series to find a series for $1/ x$ . Integrate to find a series for $ln x$ . These are power series "around the point $x = 1$ ." What is their sum at $x = 0$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.1 The Geometric Series, #4

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