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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.3 Convergence Tests: All Series, #17 · Calculus · Series

(b) Is … positive or negative if … stops at a positive…

(a) For an alternating series with terms decreasing to zero, why does the sum $s$ always lie between $s_{n - 1}$ and $s_{n}$ ?

(b) Is $s - s_{n}$ positive or negative if $s_{n}$ stops at a positive $a_{n}$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.3 Convergence Tests: All Series, #17

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