设f1(x)=2/(1+x),fn+1(x)=f1[fn(x)]设f1(x)=2/(1+x),设fn+1（x)=f1〔fn（x）〕,an=〔fn(0)-1〕/〔fn(0)+2〕,n∈N*,求数列｛an｝的2009项

f1(x)=2/(x+1),而fn+1=f1[fn(x)],设an=[fn(2)-1]/[fn(2)+2],则a99= 设f1(x)=2/(1+x),定义f(n+1)(x)=f1[fn(x)],an=[fn(0)-1]/[fn(0)+2],则a(2007)等于 设f1(x)=2/(1+x),fn+1(x)=f1[fn(x)]设f1(x)=2/(1+x),设fn+1（x)=f1〔fn（x）〕,an=〔fn(0)-1〕/〔fn(0)+2〕,n∈N*,求数列｛an｝的2009项 设f1(x)=2/(1+x),设fn+1(x)=f1〔fn(x)〕,an=〔fn(0)-1〕/〔fn(0)+2〕,n∈n*,求设f1(x)=2/(1+x),设fn+1（x)=f1〔fn（x）〕,an=〔fn(0)-1〕/〔fn(0)+2〕,n∈N*,求数列｛an｝的通项公式 设f(x)=2x+1,f1(x)=f[f(x)],fn(x)=f[fn-1(x)],(n>1,n属于正实数) 求f1(x) f2(x) f3(x)归纳fn(x）表达式 设F1(x)=sin3x,Fn+1(x)=F'n(x) (n为正整数),求Fn(x)? 设 f(x)=sinx,f1(x)=f'(X),f2(X)=f1'(X).fn+1(X)=fn'(X) n属于N+ 求f2007(X)=? 设f0(x)=cosx,f1(x)f0'(x),f2(x)=f1'(x),...,fn+1(x)=fn'(x),n属于正整数,则f2008 f(x)=x/(1+x) x>=0 f1(X)=f(X) fn(X)=fn-1[fn-1(x)]求fn（x）证明：f1(X)+2f2(X)+3f3(x)+……＋nfn(X) f1(x)=2/(1+x),f(x)=f1[fn(x)],an=[fn(0)-1]/[fn(0)+2],则a2010=? 已知f1(x)=(2x-1)/(x+1),fn+1(x)=f1[fn(x)](n=1,2,3,……),求f30（x） 设f(x)=|1-2x|,x∈[0,1],记f1(x)=f(x),f2(x)=f[f1(x)],f3(x)=f(f2(x)),.,fn+1(x)=f[fn(x)],试求方程fn(x)=1/2x在[0,1]上有几个根? 已知函数f(x)=x/(1+|x|),设f1(x)=f(x),fn+1(x)=f［fn(x)］,求f2(x),并求fn(x)通项公式 定义域和值域均为【0,1】的函数f（x）,定义f1（x）=f（x）,f2（x）=f(f1（x）),.,fn(x)=f(fn-1(x))n=1,2,3,.满足fn(x)=x的点x【0,1】为f的n段周期点,设f（x)={2x,0 已知函数f(x)=x/1+|x|,设f1(x)=f(x),fn+1(x)=f[fn(x)]1）写出f2(x)和f3(x)的解析式,并猜想数列{fn(x)}的通项公式.2）判断并证明函数y=fn(x)的单调性. 设f(x)=ax+b,其中a,b为实数,f1(X)=f(x),fn+1(x)=f(fn(x)),n=1,2,3,.若f7(x)=128x+381 则a+b=RT 设函数f(x)=ax+b,其中a,b为实数,f1(x)=f(x),fn+1(x)=f(fn(x)),n=1,2,3…若f7(x)=128x+381,求a+b? 设函数f(x)=ax+b,其中a,b为实数,f1(x)=f(x),fn+1(x)=f(fn(x)),n=1,2,3…若f7(x)=128x+381,求a+b?