Let f(x)= xe". a) Find the third Taylor polynomial P(x) for the function f(x) about x = 0. Use this polynomial to approximate f(0.8). b) Use Taylor's inequality to find the error bound for the truncation error and compare it to the true error. %3D c) Given value X0.8, with corresponding error Af = 0.01, compute the resulting error Af (X) in the function f(x).

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