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(a) Find the Taylor polynomial approximation of degree 4 about a = 0 for the function /(x) = 0. (b) Compare this result to the

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(a) Find the Taylor polynomial approximation of degree 4 about a = 0 for the function /(x) = 0. (b) Compare this result to the Taylor polynomial ap- proximation of degree 2 for the function f(x) = e* about * = 0. What do you notice? (c) Use your observation in part (b) to write out the Tay- lor polynomial approximation of degree 20 for the function in part (a). (d) What is the Taylor polynomial approximation of de- gree 5 for the function

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