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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.1 The Geometric Series, #1 · Calculus · Series

The geometric series is

The geometric series is $1 + x + x^{2} + \dots = G$ . Another way to discover $G$ is to multiply by $x$ . Then $x + x^{2} + x^{3} + \dots = x G$ , and this can be subtracted from the original series. What does that leave, and what is $G$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.1 The Geometric Series, #1

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