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Quadratic Taylor Polynomial

Suppose that p(x) = 3 - 4x + x² is the quadratic Taylor polynomial approximation based at Xο (ο is a subscript for x) = 1 to a function g. Indicate whether each of the following statements must be true, cannot be true, or might be true. Justify the answers

a) g(1) = 0

b) g'(1) = -4

c) g"(1) = 2

d) g"'(1) = -3

Solution Summary

Quadratic Taylor Polynomials are investigated.