A function \( f(x) \) is said to be discontinuous at \( x=a \) if \...

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A function \( f(x) \) is said to be discontinuous at \( x=a \) if
\( \mathrm{P} \)
(1) \( \lim _{x \rightarrow a^{-}} f(x) \) and \( \lim _{x \rightarrow a^{+}} f(x) \) exist, but are not equal
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(2) \( \lim _{x \rightarrow a^{-}} f(x) \) and \( \lim _{x \rightarrow a^{+}} f(x) \) exist and are equal but not equal to \( f(a) \)
(3) \( f(a) \) is not defined
(4) All of these
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