yes, it is relevant...firstly, u should understand why \displaystyle\lim_{n\rightarrow \infty} ((1 + \frac{1}{n})^{n}) = e then u can solve this question easily..
IF the number that can be used is only 0, 1, 3, 5, 7, without any restriction, the numbers of equations that can be formed at most are only 5P3=60, right?
So, do u think it means 10, 37, 137,... those numbers can be be used?
so, i get this...
a=0 when b\ne 0
b=0 when a\ne 0
ab=0 when a\ne 0 and b\ne 0
then, i get nothing here... so, what does it mean? Am i approaching the wrong way?
Homework Statement
How to show that there exist no function f,g:R\nearrowR satisfying f(x)g(y)=x+y, for all real x,y?
Homework Equations
Any equation for showing function?
The Attempt at a Solution
how about starting with sumthing like let h(x,y)=x+y ??