M 408D Final: M 408D Chapter 11.11: M 408D Chapter 11.1: M 408D Chapter 11.: HW 11.11-solutions
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Oliver (smo998) hw 11. 11 rusin (52440) Multiple-choice questions may continue on the next column or page nd all choices before answering. T3(x) centered at the origin for the function f (x) = cos x : t3(x) = 1 . 2 (cid:17: t3(x) = 3(cid:16)x , t3(x) = 1 2x2 x3. 6: t3(x) = x , t3(x) = 2(cid:16)x . For a function f the degree 3 taylor poly- nomial centered at the origin is given by. Compute the degree 2 taylor polynomial for f centered at x = 1 when f (x) = x : t2(x) = 1 , t2(x) = 1 + 4 (x 1)2 (x 1)2 (x 1) + (x 1) + 8 (x 1)2: t2(x) = 1 , t2(x) = 1 , t2(x) = 1 + 2 (x 1) + (x 1) (x 1) . 4 (x 1)2 (x 1)2 (x 1)2. 4x x in which case, f (1) = 1, f (1) =
