You will use programming as a great tool to solve academic problems more efficiently. Select the example of the program of this module that looks for the approximation of e $^$ x using the Taylor series and modified it to do:

The program calculates the actual value with the Matlab exp$($x$)$ command.

Change the while cycle for a for$-$loop command from $1$ to imax iteration.

declare an imax variable equal to $100$ to assign the maximum iteration.

Add before the for loop a line with: real $=$ exp $($x$)$;

Assign the value of $0\mathrm{.}0001$ to a tolerance variable. If you want to challenge yourself, create a menu to select the tolerance value with different values.

Add within the loop algorithm and if abs $($e$\_$taylor $-$ real$)<=$ tolerance, then break

Create the flowchart of it$.$ Upload in pdf or jpeg format in the Discussion board.

Comment about what you think is the meaning of declare a variable tolerance

Explain the use of the representation of a code in flowchart.