Maclaurin Series function in matlab

2013 5 17
4 个回答
更新时间：2023 12 18
51 次查看（30 天）

0 个投票

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 :(

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mohamed
mohamed 2013-5-17
移动：John D'Errico 2023-2-3
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
Hamed Oluwaseyitan 2023-4-17
  • 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

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回答（4 个）

mohamed
mohamed 2013-5-17

0 个投票

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)])
Iman Ansari
Iman Ansari 2013-5-17

0 个投票

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)])

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Lexia Rocco
Lexia Rocco 2017-5-25
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
Walter Roberson 2017-5-25
disp(['e^' num2str(x, '%.8f') ' = ' num2str(maclaurin(iteration))])

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rana
rana 2023-3-3

0 个投票

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

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mohamed
mohamed
2013-5-17

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Chandra
Chandra
2023-12-18

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