Tea Time Numerical Analysis · Problem 1.1.19

Preliminaries — Leon Brin

Mathematics — Numerical Analysis · absolute-relative-error

Problem

The number

e

can be defined by

e = \sum_{n=0}^{\infty}(1/n!)

. Compute the absolute error and relative error in the following approximations of

e

: ((a))

\displaystyle\sum_{n=0}^{5} \frac{1}{n!}

((b))

\displaystyle\sum_{n=0}^{10} \frac{1}{n!}