(adsbygoogle = window.adsbygoogle || []).push({}); 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!!

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# Homework Help: Study the continuity of this function

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