Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.5 Power Series, #19 · Calculus · Power & Taylor series

Estimate by (2) the remainder … in the geometric series

17–24 are about remainders and are about binomials.

Estimate by (2) the remainder $R_{n} = x^{n + 1} + x^{n + 2} + \dots$ in the geometric series. Then compute $R_{n}$ exactly and find the unknown point $c$ for $n = 2$ and $x = \frac{1}{2}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.5 Power Series, #19

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