Question: In Exercises use a graphing utility to graph the function. Then graph the linear and quadratic approximations in the same viewing window. Compare the values
In Exercises use a graphing utility to graph the function. Then graph the linear and quadratic approximations
in the same viewing window. Compare the values of ƒ, P1, and P2 and their first derivatives at x = a. How do the approximations change as you move farther away from x = a?

P(x) = f(a) + f'(a)(x a) and P(x) = f(a) + f'(a)(x a) + f"(a)(x a)
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fx fx fx P x P x x x l x 1 2xx 1 Px 2 32x 4 Px 4 3x 6x 1 4x x 1 32 Px 2 2 32 4 ... View full answer
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