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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.2 Convergence Tests: Positive Series, #30 · Calculus · Series

Compute the sum … for other “telescoping series”: (a) … (b)

Compute the sum $s$ for other “telescoping series”:
(a) $(\frac{1}{1} - \frac{1}{3}) + (\frac{1}{2} - \frac{1}{4}) + (\frac{1}{3} - \frac{1}{5}) \dots$
(b) $ln \frac{1}{2} + ln \frac{2}{3} + ln \frac{3}{4} + \dots$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.2 Convergence Tests: Positive Series, #30

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