Let f(x) = tan x. (1) Approximate f by a Taylor polynomial with degree n = 3 at the number a = 0. (2) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval. 1 0≤x≤

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A: The given question is solved below

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A: Please see the below pictures for detailed solution.