Hi, I had difficulty solving this problem. Actually, I'm stuck.

Suppose (Xn) inRis defined recursively by X1= 1 and , n= 1, 2, ...

Show (Xn) converges and find its limit.

And there's a hint: Notice that | Xn+2 - X n+1| < 1/9 |Xn - Xn+1|. Show (Xn) is Cauchy.

Thanks for any help.

I edited my mistake. Sorry again.