Find all functions
defined on the set of positive reals which take positive real values and satisfy:
for all
; and
as
.
%V0
Find all functions $f$ defined on the set of positive reals which take positive real values and satisfy: $f(xf(y))=yf(x)$ for all $x,y$; and $f(x)\to0$ as $x\to\infty$.
Školjka