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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.3 Convergence Tests: All Series, #44 · Calculus · Series

Suppose … converges and

Suppose $Σ a_{n}$ converges and $∣ x ∣ < 1$ . Show that $Σ a_{n} x^{n}$ converges absolutely.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.3 Convergence Tests: All Series, #44

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