Tea Time Numerical Analysis · Problem 1.1.6

Preliminaries — Leon Brin

Mathematics — Numerical Analysis · absolute-relative-error

Problem

Compute the absolute error and relative error in approximations of

p

\tilde{p}

. ((a))

p = \sqrt{2}

\tilde{p} = 1.414

((b))

p = 10^{\pi}

\tilde{p} = 1400

((c))

p = 9!

\tilde{p} = \sqrt{18\pi}(9/e)^{9}