MATLAB

The function f(x)=exf(x)=ex can be represented by a taylor series:

Write a program in a script file that determines exex by using the Taylor series representation.

The program calculates exex by adding terms of the series and stopping when the absolute value of the term that was added last is smaller than 0.0001.

Use a while-end loop, but limit the number of passes to 30.

If in the 30th pass the value of the term that is added is not smaller than 0.0001, the program stops and displays a message that more than 30 terms are needed.

A template to get you started is shown below.

Test by calculating e², e⁴