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प्रश्न
Which one-sided-limit condition is required for continuity at \[x=c\]?
पर्याय
\[\lim_{x\to c^-}f(x)\ne\lim_{x\to c^+}f(x)=f(c)\]
\[\lim_{x\to c^-}f(x)\] and \[\lim_{x\to c^+}f(x)\] need not exist
\[\lim_{x\to c^-}f(x)=\lim_{x\to c^+}f(x)\ne f(c)\]
\[\lim_{x\to c^-}f(x)=\lim_{x\to c^+}f(x)=f(c)\]
MCQ
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उत्तर
For continuity, both the left-hand limit and right-hand limit must exist. They must be equal to each other and to \[f(c)\].
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