f(x)满足关系f(xy)=f(x)+f(y) (x,y属于R)(1)求f(1); (2)求f(1/3)+f(1/2)+f(1)+f(2)+f(3)

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f(x)满足关系f(xy)=f(x)+f(y) (x,y属于R)(1)求f(1); (2)求f(1/3)+f(1/2)+f(1)+f(2)+f(3)
f(x)满足关系f(xy)=f(x)+f(y) (x,y属于R)(1)求f(1); (2)求f(1/3)+f(1/2)+f(1)+f(2)+f(3)

f(x)满足关系f(xy)=f(x)+f(y) (x,y属于R)(1)求f(1); (2)求f(1/3)+f(1/2)+f(1)+f(2)+f(3)
f(1)=f(1)+f(1)；f(1)=0
f(1/3)+f(1/2)+f(1)+f(2)+f(3)=3*f(1)=0