Consider the following function. f(x) = x3/5, a = 1, n = 3, 0.7 ≤ x ≤ 1.3 (a) approximate f by a taylor polynomial with degree n at the number a. t3(x) = 3 5 (x−1)− 3 25 (x−1)2+ 7(x−1)3 125 +1 (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 eight decimal places.) |r3(x)| ≤