3. Suppose f(0) = 1, ƒ'(0) = −2, ƒ"(0) = −1/5, ƒ""(0) = 2/3, and [ƒ(¹) (x)| ≤ 0.016 for 0 ≤ x ≤ 2. (a) Estimate ƒ(1) by
Posted: Thu Jun 30, 2022 7:34 pm
3. Suppose f(0) = 1, ƒ'(0) = −2, ƒ"(0) = −1/5, ƒ""(0) = 2/3, and [ƒ(¹) (x)| ≤ 0.016 for 0 ≤ x ≤ 2. (a) Estimate ƒ(1) by using a Taylor polynomial of degree 3. (b) Compute a good bound for the absolute error, using the Taylor remainder.