Originally Posted by

**AshleyT** Okey, im fairly sure this is simple but i've not done maths in ages and we have horrendous maths lecturers and tutorial people who's reply when our whole table couldn't do it was 'Guys, it's easy, why dont you get it?'

Now im not asking for the answer, just some help if that's ok :).

The question is:

$\displaystyle f(x) = \frac{x}{4} - \left\lfloor {\frac{x}{4} + \frac{1}{4}} \right\rfloor $

Question:

Prove:

a.) If n is an integer then f( x + 4n) = f(x)

b.) If 0 < x < 3 then f(x) = 1 and if 3 < x < 4 then f (x) = 0