The function

$$

$($

$$

$)$

$=$

$$

$$

$$can be evaluated using the following infinite series:

$($

$$

$)$

$=$

$$

$$

$=$

$1$

$+$

$$

$+$

$$

$2$

$2$

$!$

$+$

$$

$3$

$3$

$!$

$+$

$$

$4$

$4$

$!$

$+$

cdots

Create a function

$$

$-$

file called Lab

$1$

Q

$3$

$.$

m that evaluates the function to a certain error

tolerance

$$

$$

$($

i

$.$

e

$,$

$$continues adding terms one at a time until the approximate percent relative

error

$$

$$

$<$

$$

$$

$)$

$.$

The input variables to the function should be

$$

$,$

$$

$$

$$and the maximum number of terms

maxterms. In case the solution will not converge, it is always a good idea to specify a

maximum number of iterations or terms such that the code will terminate when either

$$

$$

$<$

$$

$$

$$or the number of terms reaches the maxterms value.

The output variables should be the result of the function

$($

funcex

$)$

$,$

$$the approximate error after

convergence is reached

$($

$$

$$

$)$

$,$

$$and the number of terms required for the solution to converge

$($

terms

$)$

$.$

$$The first line of the function should therefore be as follows:

function

$[$

funcex

$,$

ea

$,$

terms

$]$

$=$

Lab

$1$

Q

$3$

$($

x

$,$

es

$,$

$$maxterms

$)$