设x_(0)=0,x_(n)=(1+2x_(n-1))/(1+x_(n-1))(n=1,2,3,...),则lim_(ntoinfty)x_(n)=

设$x_{0}=0,x_{n}=\frac{1+2x_{n-1}}{1+x_{n-1}}(n=1,2,3,\cdots)$,则$\lim_{n\to\infty}x_{n}=$

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