Question: Construct the second order Taylor polynomial for a function g(x) near x = 1 assume that g(1) = 1, g' (1) = 2, and g''

Construct the second order Taylor polynomial for a function g(x) near x = 1 assume that g(1) = 1, g' (1) = 2, and g'' (x) = 6

1. State P2(x)

2. Provide an approximation of g(2)

3. Assume that g''(x) < 1 for all values of x. What is a bound on the absolute error of your approximation of g(2)?

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