Consider the following function. f(x) = ln(1 + 2x), a = 2, n = 3, 1.6 ≤ x ≤ 2.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = (b) Use Taylor's Inequality to estimate...

Consider the following function. f(x) = ln(1 + 2x),    a = 2,    n = 3,    1.6 ≤ x ≤ 2.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) =

(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)| ≤  (c) Check your result in part (b) by graphing  |Rn(x)|.