一道高二数列极限题已知：正项数列{An}和{Bn}中,A1=a (0
问题描述：
一道高二数列极限题
已知：正项数列{An}和{Bn}中,A1=a (0
答
1.Bn = (B(n-1))/(1-A(n-1)*A(n-1)) = (1 - A(n-1))/(1-A(n-1)*A(n-1))=1/(1+A(n-1))=>An = A(n-1)/(1+An-1)=>An + An*An-1 = An-1=>同除以AnAn-11/An = 1/An-1 + 1=>1/An = 1/A1 + n-1=>An = 1/(n-1+1/a)2.Cn = An*...