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# Determine all functions such that

Determine all functions $$f: \mathbb{N} \rightarrow \mathbb{R}$$ such that $$f(x+y)=f(x)+f(y)$$ , for any positive integers $$x$$ and $$y$$ that satisfy $1 - \frac{1}{73^{73} } < \frac{x}{y} < 1 + \frac{ 1 } { 73^{73} }$

Note by John Smith
7 months ago