मराठी

Which condition makes a function discontinuous at \[x=a\]?

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प्रश्न

Which condition makes a function discontinuous at \[x=a\]?

पर्याय

  • \[\lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)=f(a)\]

  • \[\lim_{x\to a}f(x)=f(a)\]

  • \[\lim_{x\to a}f(x)\ne f(a)\]

  • \[f(a)\] is defined and both limits are equal to \[f(a)\].

MCQ
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उत्तर

A function is discontinuous when it fails the continuity condition. In particular, it is discontinuous if \[\lim_{x\to a}f(x)\ne f(a)\].

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