Let f(x) = [x] ( [x+1] )

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let f(x)=[x]sin⁡(π[x+1]), where [⋅] denotes greatest integral function.\text{Let } f(x) = [x] \sin \left( \frac{\pi}{[x+1]} \right), \text{ where } [\cdot] \text{ denotes greatest integral function.} The domain of ff is ..... and the points of discontinuity of ff in the domain are .....

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