how to plot a factorial with variable please help!

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I want to plot a function that contains factorial in it. But for some reason it produced many errors. The graph can be plotted if I open up the factorial and write it. But I am wondering what's wrong with with the code with factorial function.
Here's the code I am struggling with:
syms n;
f(n) = 1-factorial(3000-n)./factorial(2990-n)./(3000^10);
range = linspace(1,3000,3000);
plot(range, f(range));
This is the error message:
Error using symengine
Nonnegative integer or a symbol expected.
Error in sym/subs>mupadsubs (line 157)
G = mupadmex('symobj::fullsubs',F.s,X2,Y2);
Error in sym/subs (line 142)
G = mupadsubs(F,X,Y);
Error in symfun/feval>evalScalarFun (line 42)
y = subs(formula(Ffun), Fvars, inds);
Error in symfun/feval (line 28)
varargout{1} = evalScalarFun(F, Fvars, varargin);
Error in symfun/subsref (line 178)
B = feval(A,inds{:});
Error in untitled (line 4)
plot(range, f(range));
If I open up the factorial (write out each term and run the code, it produced the desired image:

Accepted Answer

Majid Farzaneh
Majid Farzaneh on 31 May 2018
Edited: Majid Farzaneh on 31 May 2018
Hi, This will work:
syms n;
f(n) = 1-factorial(3000-n)./factorial(2990-n)./(3000^10);
range = linspace(1,2990,2990);
plot(range, f(range));
The input argument of factorial must be positive or zero (Test factorial(-1)). You have factorial(2990-n) and n=2991:3000 in your code that makes factorial undefined.
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