对于正数x规定f(x)1
的有关信息介绍如下:问题补充说明:对于正数x规定f(x)=x/(x+1),例如f(3)=3/(3+1)=3/4,f(1/3)=(1/3)/[(1/3)+1]=1/4,计算:f(2018)+f(2017)+……+f(1)+f(1/1)+f(1/2)+f(1/2018)=分母在右分子在左
f(x)+f(1/x)=x/(x+1)+(1/x)/[(1/x)+1]
=x来自/(x+1)+1360问答/(x+1)
=1
f(2018)+势吸在术际指突f(2017)+……+f(1)+f(1/1)+f(1/2)+....+f(1/2018)
=[f(2018)+f(1/2018)]+[f(2017)+f(1/2017)]+......+[f(1)+f(1/1)]
=1+1+......+1 (2018个1)
=2018