Problem 3: Suppose that f() = 42-5 9k (X - 2) 2k Calculate f(2). B. Calculate f(2022) (2). (Problem 3, continued: Recall that f(x) = 4ks 94 (2 - 2) 2k . ) C. Use the sixth degree Taylor polynomial, P6(r), for f(x) centered at x = 2 to approximate f (3) to 3 decimal places. You mustexhibit p6(3), but you may use technology to evaluate it. D. Explain whether you would expect that the 14th degree Taylor polynomial should provide a better approximation than the sixth degree one for f (3)