%LOSS OF SIGNIFICANCE EXAMPLE %machine precision example clear x(1)=1-1/exp(1); s(1)=1; f(1)=1; for i= 2:21 x(i)=1-(i-1)*x(i-1); s(i)=1/i; f(i)=(i-1)*f(i-1); end n=0:20; z=[n;x;s;f]; fprintf(1,'\n\n n x(n) 1/(n+1) n!\n\n') fprintf(1,'%2.0f %13.8f %10.8f %10.3g\n',z)