Consider the following function. f(x) = sec(x), a = 0, n = 2, −0.1 ≤ x ≤ 0.1
(a) Approximate f by a Taylor polynomial with degree n at the number a.
T2(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.)
|R2(x)| ≤