Example 2.2: Nested Loops

% Example_2_2.m

% This program illustrates the use of nested loops, i.e.

% an inner 'for' loop inside an outer 'for' loop.

% The program calculates e^x by both MATLAB's 'exp'

% command (variable 'ex2'), and by a Taylor series

% expansion (variable 'ex1'), where -0.5 < x < 0.5.

% The outer 'for' loop is used to determine the x

% values. The inner loop is used to determine the Taylor

% series method for evaluating e^x. In this example,

% term(n+1) is obtained by multiplying term(n) by x/n.

% The variable 'term' is established as a vector so that

% MATLAB's built-in 'sum' function can be used to sum

% all the terms calculated in the Taylor series method.

% A maximum of fifty terms is used in the series.

% Program output is sent both to the screen and to a

% file. By printing the output to a file, you can easily

% edit the output file to line up column headings,

% etc. (which you can't do when printing to the screen).

% Note: e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! + ...

clear; clc;

xmin=-0.5; dx=0.1;

fo=fopen('output.txt','w');

% Table headings

fprintf(' x ex1 ex2 ');

fprintf('------------------------------------- ');

fprintf(fo,' x ex1 ex2 ');

fprintf(fo,'------------------------------------- ');

for i=1:11

x=xmin+(i-1)*dx;

ex2=exp(x);

term(1)=1.0;

for n=1:49

term(n+1)=term(n)*x/n;

if abs(term(n+1)) <= 1.0e-7

break;

end

end

ex1 = sum(term);

fprintf('%5.2f %10.5f %10.5f ',x,ex1,ex2);

fprintf(fo,'%5.2f %10.5f %10.5f ',x,ex1,ex2);

end

fclose(fo);

------------------------------------------------------------

Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.

Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.

Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.Find step-by-step answers from expert tutors to questions asked by students like you. Start 14-day free trial.