Question

f(x)=4^x/(2+4^x),求f(1/11)+f(2/11)+……+f(10/11)

Answer 1

f(1-x)=4^(1-x)/[2+4^(1-x)]上下同乘4^x,且4^(1-x)*4^x=4^(1-x+x)=4所以f(1-x)=4/(2*4^x+4)=2/(4^x+2)所以f(x)+f(1-x)=4^x/(2+4^x)+2/(2+4^x)=(2+4^x)/(2+4^x)=1所以f(1/11)+f(2/11)+……+f(10/11)=[f(1/11)+f(10/11...