The relative error of an approximation
of a quantity
is
.
Find the relative error in approximating
using two terms of the exponential series.
The two terms of the exponential series is
.
.




.
The relative error using two terms is
.
Find the relative error in approximating
using three terms of the exponential series.
The three terms of the exponential series is
.
.




.
The relative error using three terms is
.
Find the relative error in approximating
using six terms of the exponential series.
The three terms of the exponential series is
.
.




.
The relative error using six terms is
.
The relative error using two terms is
.
The relative error using three terms is
.
The relative error using six terms is
.