MediumPower & Taylor series

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.5 Power Series, #32 · Calculus · Power & Taylor series

Use the binomial series to compute 33–36 with error less than

In the series for $1/ 1 + 4 x$ , show that the coefficient of $x^{n}$ is $(2 n)!$ divided by $(n!)^{2}$ .

Use the binomial series to compute 33–36 with error less than $1/1000$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.5 Power Series, #32

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