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

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A function \( f(x) \) is said to be continuous at \( x=a \) if
\( \mathrm{P} \)
(1) \( \lim _{x \rightarrow a^{-}} f(x)=\lim _{x \rightarrow a^{+}} f(x) \)
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(2) \( \lim _{x \rightarrow a^{-}} f(x)=f(a) \)
(3) \( \lim _{x \rightarrow a^{-}} f(x)=\lim _{x \rightarrow a^{+}} f(x)=f(a) \)
(4) limit does not exist
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