If $f(x)=\lfloor x\sin \pi x\rfloor$ (where $\lfloor x\rfloor$ denotes the greatest integer that is at most $x$) is $f$ continuous at any point? Also prove whether it's continuous or not using the precise definition of continuity.
2026-04-17 13:22:27.1776432147
Continuity of $f(x)=\lfloor x\sin \pi x\rfloor$
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