Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.5 Power Series, #20 · Calculus · Power & Taylor series

For …, use equation (2) to show that … at

17–24 are about remainders and are about binomials.

For $- ln (1 - x) = x + \frac{1}{2} x^{2} + \frac{1}{3} x^{3} + R_{3}$ , use equation (2) to show that $R_{3} \leq \frac{1}{8}$ at $x = \frac{1}{2}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.5 Power Series, #20

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