已知a>0.数列{an}满足a1=a,an+1=a+ 1/an,（n=1,2…..）,an极限存在,an＞0.设数列bn=an-A,(n=1,2….)试证明bn+1=bn/-A(bn+A);(2)若数列｜bn｜≤1/2^n对n=1,2……均成立,试求a的取值范围.

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