MATLAB: COS(2pix)

plotting

Hi ALL,
I needed the Taylor series ( about x=0) of cos[2*pi*x] for some application.
I wrote this little simple code:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Xvalue= -10:.01:10;
Yvalue =zeros(1, length(Xvalue));
for w =1:  length(Xvalue)
 x0=Xvalue(w); 
 ss=0;
    for mm = 0:100
    ss=ss+   (-1)^(mm )   *  ((2*pi*x0)^(2*mm))    /     factorial(2*mm)  ;
    end 
    Yvalue(w)=ss;
  end
 figure(1)
 plot(Xvalue, Yvalue)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
I got the below figure, where after x is about =6, the y values started to be NAN.
comments please

Best Answer

    for mm = 0:100
    ss=ss+   (-1)^(mm )   *  ((2*pi*x0)^(2*mm))    /     factorial(2*mm)  ;
What is (2*pi*6)^(2*100) ?
What is factorial(2*100) ?
What is the ratio of those two?
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