(本小题满分14分)已知函数,设曲线y=f(x)在点(xn,f(xn))处的切线与x轴的交点为(xn+1,0)(n ÎN *),x1=4.
(Ⅰ)用表示xn+1;
(Ⅱ)记an=lg,证明数列{an}成等比数列,并求数列{xn}的通项公式;
(Ⅲ)若bn=xn-2,试比较与的大小.
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(本小题满分14分)已知函数,设曲线y=f(x)在点(xn,f(xn))处的切线与x轴的交点为(xn+1,0)(n ÎN *),x1=4.
(Ⅰ)用表示xn+1;
(Ⅱ)记an=lg,证明数列{an}成等比数列,并求数列{xn}的通项公式;
(Ⅲ)若bn=xn-2,试比较与的大小.
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