MediumPower & Taylor series

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.5 Power Series, #22 · Calculus · Power & Taylor series

By estimating … prove that the Taylor series for … around …

17–24 are about remainders and are about binomials.

By estimating $R_{n}$ prove that the Taylor series for $e^{x}$ around $x = 1$ converges to $e^{x}$ as $n \to \infty$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.5 Power Series, #22

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