Tea Time Numerical Analysis · Problem 1.2.25

Preliminaries — Leon Brin

Mathematics — Numerical Analysis · taylor-remainder

Problem

Suppose f(8)(x)=excos⁡xf^{(8)}(x) = e^x \cos x for some function ff. Find a bound on the error in approximating f(x)f(x) over the interval [0,π/2][0, \pi/2] using T7(x)T_7(x) expanded about x0=0x_0 = 0.

Related theory

Browse the problem library