(a) Approximate f by a Taylor polynomial with degree n at the number a.
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ( Tn (x) when x line in the given interval.
(c) Check your result in part (b) by graphing |Rn (x)|.
1. f(x) = (x, a = 4, n = 2, 4 ( x ( 4.2
2. f(x) = x2/3, a = 1, n = 3, 0.8 ( x ( 1.2
3. f(x) = sec x, a = 0, n = 2, - 0.2 ( x ( 0.2