Matlab - Write a code to find the geometric series approximation by using a user defined function and a call function.

%% The geometric series, 1/(2^1) + 1/(2^2) + 1/(2^3) + 1/(2^4) + ...

% converges to the limit 1. In this lab, you will write a calling program

% and a user-defined function to compute the series approximation, plot

% the series sum and true error versus the number of terms

% summed (see the projected graph), and display the final results to the

% command window.

%

% Name the calling program: fcall_geo

% Name the function: f_geo

%

% f_geo should do the following:

% 1) compute the geometric series sum until the true error is less

% than a specified error;

% 2) inside your loop, use a 2x1 subplot to plot the series sum for

% each step in the upper subplot (red circles, linewidth 1.5, marker size 15) and the

% true error for each step in the lower subplot (blue circles, linewidth 1.5, marker size 15).

% 3) Pass the specified error to f_geo through its input, pass the final true error

% out of f_geo through its output, and pass the final series sum out of

% f_geo using the Global Memory. Remember, your Global statement will

% be the first statement after the function statement.

%

% fcall_geo should do the following:

% 1) issue the global statement

% 2) cut and paste the following commands into your code (delete the %'s) -

% fprintf(' ')

% eval('type f_geo')

% fprintf(' ')

% eval('type fcall_geo')

% 3) set the specified error to 0.002

% 4) start the graphs:

% a) make both x-labels "Terms Summed" and the y-labels "Series Sum" and "True Error"

% b) in the upper subplot only, add a title showing your name

% c) copy/paste the following commands for the upper subplot ...

% axis([1 10 0.4,1.2]),hold on,grid on

% copy/paste the following commands for the lower subplot ...

% axis([1 10 -0.2 0.6]),hold on,grid on

% c) in the upper subplot, add a solid black line (width 1.5) at the series limit of 1

% d) in the lower, add a solid black line (width 1.5) at the specified error

% 5) call f_geo

% 6) use fprintf to display a) your name, b) the final series sum, and

% c) the final true error (both with 5 digits to the right of the decimal)