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Consider the function f (20) = (1 - 20)e . (1) Find its 2nd order Taylor polynomial approximation T2(x) centered at x =0 . (2)

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Consider the function f (20) = (1 - 20)e ". (1) Find its 2nd order Taylor polynomial approximation T2(x) centered at x =0 . (2) Give an upper bound for the absolute value of the remainder [R(x)| = If(x) -T2(x)| on the interval [-2, 2]

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