1. The problem statement, all variables and given/known data f(x) = [x^2]sinπx, x ∈ R, being [x] the integer part of x 2. Relevant equations 3. The attempt at a solution I'd say it's trivially continuos on all R, because it's the product of two continuos functions: y: = [x^2] and g: = sinπx. However, being part of my analysis class homework (always a bit tricky to solve), it seems a bit too easy to me. So, i thought there might be something strange I haven't noticed. Or is my reasoning just correct? thanks in advance!!