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Use zero- through third-order Taylor series expansions to predict f (xi+1=3) for f (x) = 20x3 5x2 + 6x 77 using a base point at

Use zero- through third-order Taylor series expansions to predict f (xi+1=3) for f (x) = 20x3 5x2 + 6x 77 using a base point at x = 1 [ f(xi=1) = -56 ] . Compute the true percent relative error t for each approximation.

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