Does someone have the code for Maclaurin function (sinX, cosX, and e^x)?

Question

aldo angulo 2018-3-7

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评论： Walter Roberson 2019-1-29

I would thank you guys alot

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Answer 1

Walter Roberson 2018-3-7

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在 MATLAB Online 中打开

syms x
taylor(sin(x),x,0,'Order',10)
taylor(cos(x),x,0,'Order',10)
taylor(exp(x),x,0,'Order',10)

You should be able to deduce the general forms easily. Hint: factorial.

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Answer 2

Rishabh Umrao 2019-1-29

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for

function result = MacLaurin(a,n)
% Program to calculate MacLaurin expression
% 'a' is the value whose exponential is to be found
% 'n' is the number of expansion terms
% calculating factorial for the expression
a = cumprod(1:5);
disp(a);
b = 1./a;
vec = 1:5;
d = 0.5.^vec;
c =  1 + sum(d.*b);
result = c;
end

or

function result = MacLaurin1(a,n)
% Program to calculate MacLaurin expression
% 'a' is the value whose exponential is to be found
% 'n' is the number of expansion terms
% calculating factorial for the expression
Res=0;
% loop to calculate factorial and add the element to fact
for i = 0:n
    Res = Res + a^i/factorial(i);
end
result = Res;
end

for e^(-x)

% function to calculate MacLaurin series 
% 'a' is the value whose exponential is to be found
% 'n' is the number of expansion terms
function result = mclr_lec1_prac_prob_for(n)
terms = [];
for i = 1:n
    if (rem(i,2)==0)
        terms(i) = (0.25.^i./cumprod(i));
    else 
        terms(i) = -(0.25.^i./cumprod(i));
    end
end
expVal = 1+sum(terms);
result = expVal;
end