Question 25
Let $$
f(x)=\sum_{k=2}^{10}(\lfloor kx \rfloor -k \lfloor x \rfloor),
$$ where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to $r.$ How many distinct values does $f(x)$ assume for $x \ge 0?$
f(x)=\sum_{k=2}^{10}(\lfloor kx \rfloor -k \lfloor x \rfloor),
$$ where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to $r.$ How many distinct values does $f(x)$ assume for $x \ge 0?$