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Mathematics, 18.09.2019 00:10 kpgmfb

Find the degree $n$ taylor polynomial $p_{n}(x)$ for $f(x) = exp(x)$ about a point a = 1. find the smallest positive integer $n$ such that the remainder formula for the taylor approximation guarantees that (the absolute value of) the remainder is less than $10^{-3}$ for all $0\leq x \leq1$.

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