Plotting the exp(-x) using the power series expansion and for loop
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Hello,
I am trying to program the function exp(-x) using the power series and for loop and plotting it against the actual exp(-x) to check what the error is, however, for some reason the program does not show the correct graph for the power series expansion. My code is below:
x1 = 0:0.1:5;
y = exp(-x1);
figure
plot(x,y,'k') % plots the true function e^-x in black
hold on;
ex1 = ones(1,51);
ex2= 0;
for n = 1:5
ex1 = ex1 + ((-ex1).^n).*((x1.^n)/(factorial(n)))
end
plot(x1,ex1,'r');
The issue is with the expression for ex1, but I can't figure out why it isn't working as I am sure that I have used the correct formulae. Thanks.
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Accepted Answer
Ameer Hamza
on 29 Oct 2020
The series expansion is wrong. Check the following code
x1 = 0:0.1:5;
y = exp(-x1);
figure
plot(x1,y,'k') % plots the true function e^-x in black
hold on;
ex1 = zeros(size(x1));
for n = 0:5
ex1 = ex1 + (-1).^n.*(x1.^n)/(factorial(n));
end
plot(x1,ex1,'r');
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