Maclaurin Series function in matlab

e^x=1+x+((x^2)/2!)+((x^3)/3!)+((x^4)/4!)+......

• Implement a MATLAB function that compute e^x using this formula *(Stop when ((epson)a) is below than an error criterion confirming to five significant figures)
• You must display your result , the final value of error you reached and the number of terms taken

please help i have to hand this out tomorrow :(

i dont have a problem with the real solving but when it comes to matlab im noob :(

[mohamed]

my problem is: the first iteration its gives me 1 2nd iteration gives me 1.5208 but its should be 1.5 please someone help me :(

[Hamed Oluwaseyitan]

• Use MATLAB to determine the Maclaurin series of up to and including the term (include a screenshot); and,

use the result to propose what the complete (infinitely many terms) Maclaurin series of might look like. You will need to use (sigma) notation to express your answer

• Use MATLAB to determine the Maclaurin series of up to and including the term (include a screenshot); and,
• use the result to propose what the complete (infinitely many terms) Maclaurin series of might look like. You will need to use (sigma) notation to express your answer

Answer 1

[mohamed]

function Maclaurin
n=5;
x=input('enter the x value: ')
epsilon_s=(0.5*10^(2-n))
epsilon=100
maclaurin(1)=1
iteration=1
while epsilon>epsilon_s
iteration=iteration+1
maclaurin(iteration)=maclaurin(iteration-1)+(x)^(iteration-1)+x^(2+(iteration-1))/factorial(2+(iteration-1))
epsilon=abs((maclaurin(iteration)-maclaurin(iteration-1))/maclaurin(iteration))
end
disp(['number of iterations= ',num2str(iteration)])
disp(['epsilon= ',num2str(epsilon)])

Answer 2

[Iman Ansari]

function Maclaurin
n=5;
x=input('enter the x value: ');
epsilon_s=(0.5*10^(2-n));
epsilon=100;
maclaurin(1)=1;
iteration=1;
while epsilon>epsilon_s
iteration=iteration+1;
maclaurin(iteration)=maclaurin(iteration-1)+(x)^(iteration-1)/factorial(iteration-1);
epsilon=abs((maclaurin(iteration)-maclaurin(iteration-1))/maclaurin(iteration));
end
disp(['e^' num2str(x) ' = ' num2str(maclaurin(iteration))])
disp(['number of iterations= ',num2str(iteration)])
disp(['epsilon= ',num2str(epsilon)])

[Lexia Rocco]

I need my estimation for e^x to display 8 digits, I've been trying to figure out the syntax for it although i keep getting errors, do you know how I could change it to display e^x with 8 significant digits? Please and thank you!

[Walter Roberson]

disp(['e^' num2str(x, '%.8f') ' = ' num2str(maclaurin(iteration))])

Answer 3

[rana]

Using Matlab Plot the function f(x)= e^x and the Maclaurin’s series expansion Using 6 terms, 8 terms and 10 terms

Answer 4

[Chandra]

i want the plottings