Consider the following function.
f(x) = sinh 2x, a = 0, n = 5, −0.7 ≤ x ≤ 0.7
(a) approximate f by a taylor polynomial with degree n at the number a.
t5(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 four decimal places.)
|r5(x)| ≤