Question 1 Let 7'3 (x) be the third-degree Taylor polynomial for f (x) = r' about a = 2. Which of the following statements is true? A T, (x) = 8+12(x - 2) + 12(x - 2) + 6(x - 2), and I; (x) provides a good approximation for f(x) only for values of a that are close to r = 2 B T3(x) = 8+ 12 (x - 2) + 12(x - 2) + 6(x - 2), and Ty(x) provides a good approximation for f(r) for all real numbers r. C Ti (x) = 8+12(x - 2) +6(x - 2) + (x - 2) , and T's(x) provides a good approximation for f(x) only for values of a that are close to r = 2 D T, (x) = 8+12(x - 2) +6(x - 2) + (x - 2), and 73(x) provides a good approximation for f(r ) for all real numbers