If $\lim _{n \rightarrow \infty} x_n$ exists and is finite,$x_1=2$,$x_{n+1}=\frac{a+b x_n}{b+c x_n}$ for all $n \in N$,and $c > b > a > 0$,then $\lim _{n \rightarrow \infty} x_n =$
- A$\sqrt{\frac{a b}{c}}$
- B$\sqrt{\frac{a}{c}}$
- C$\sqrt{\frac{a}{b}}$
- D$\sqrt{\frac{a}{b}}$
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