Maclaurin Series function in matlab

Question

mohamed 2013-5-17

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/76106-maclaurin-series-function-in-matlab

回答： Chandra 2023-12-18

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 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 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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Answer 1

mohamed 2013-5-17

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/76106-maclaurin-series-function-in-matlab#answer_85771

在 MATLAB Online 中打开

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)])

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Answer 2

Iman Ansari 2013-5-17

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/76106-maclaurin-series-function-in-matlab#answer_85827

在 MATLAB Online 中打开

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 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!