If \( f(x)=[|x|] \), where \( [\cdot] \) denotes the greatest integ...

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If \( f(x)=[|x|] \), where \( [\cdot] \) denotes the greatest integer function, then which of the following is not true?
\( \mathrm{P} \)
(1) \( f(x) \) is continuous \( \forall x \in R \)
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(2) \( f(x) \) is continuous from right and discontinuous from left \( \forall x \in N \)
(3) \( f(x) \) is continuous from left and discontinuous from right \( \forall x \in I \)
(4) \( f(x) \) is continuous at \( x=0 \)
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