Question: Let f (x) = x3. a. Find the second Taylor polynomial P2(x) about x0 = 0. b. Find R2 (0.5) and the actual error in

Let f (x) = x3.
a. Find the second Taylor polynomial P2(x) about x0 = 0.
b. Find R2 (0.5) and the actual error in using P2 (0.5) to approximate f (0.5).
c. Repeat part (a) using x0 = 1.
d. Repeat part (b) using the polynomial from part (c).

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