Consider the following function. f(x) = ln(1 + 2x), a = 4, n = 3, 3.7 ≤ x ≤ 4.3
(a) approxima...
Mathematics, 23.11.2019 03:31 sophiaroeloffs4348
Consider the following function. f(x) = ln(1 + 2x), a = 4, n = 3, 3.7 ≤ x ≤ 4.3
(a) approximate f by a taylor polynomial with degree n at the number a. t3(x) = correct: your answer is correct.
(b) use taylor's inequality to estimate the accuracy of the approximation f(x) ≈ tn(x) when x lies in the given interval. (round your answer to six decimal places.) |r3(x)| ≤ 0.3 incorrect: your answer is incorrect.
(c) check your result in part
(b) by graphing |rn(x)|.
Answers: 1
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