Continuity 1

At what points is the function
f(x)=[x^2]\sin \pi x\qquad \forall\ x\in\mathbb{R}
discontinuous?

4 Answers

1
ANKIT MAHATO ·

at ± square root of natural numbers excluding perfect squares ...
±√3, ±√2...
but not ± √4 , ±√36

66
kaymant ·

yes.

1
ANKIT MAHATO ·

at 0 it is continuous as sin 0 is 0 ...

1
ANKIT MAHATO ·

yippee ...

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