已知函数f(x)=(x+3)/(x+1) (x不等于-1),设数列{an}满足a1=1,an+1(n+1是下标)=f(an)数列{bn}满足bn=绝对值(an-√3),sn=b1+b2+……+bn,求证:Sn
问题描述:
已知函数f(x)=(x+3)/(x+1) (x不等于-1),设数列{an}满足a1=1,an+1(n+1是下标)=f(an)
数列{bn}满足bn=绝对值(an-√3),sn=b1+b2+……+bn,求证:Sn
答
a1=1,a
∴an>=1.
√3-a
∴b
∴Sn