【数学】数列证明题已知f(x)=x^2-1/2x+1/4,数列{bn}满足：b1=b,b(n+1)=2f(bn)(n∈N+),若1/2＜b＜1,且{1/bn}的前n项和为Sn,求证：Sn＜2/(2b-1)

【数学】数列证明题已知f(x)=x^2-1/2x+1/4,数列{bn}满足：b1=b,b(n+1)=2f(bn)(n∈N+),若1/2＜b＜1,且{1/bn}的前n项和为Sn,求证：Sn＜2/(2b-1)
【数学】数列证明题
已知f(x)=x^2-1/2x+1/4,数列{bn}满足：b1=b,b(n+1)=2f(bn)(n∈N+),若1/2＜b＜1,且{1/bn}的前n项和为Sn,求证：Sn＜2/(2b-1)

【数学】数列证明题已知f(x)=x^2-1/2x+1/4,数列{bn}满足：b1=b,b(n+1)=2f(bn)(n∈N+),若1/2＜b＜1,且{1/bn}的前n项和为Sn,求证：Sn＜2/(2b-1)
变态题目啊

好难好难