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JEE Main & Advanced Mathematics Functions Question Bank Continuity

  • question_answer
    A function f on R into itself is continuous at a point a in R, iff for each \[\in >0\], there exists, \[\delta >0\]such that [UPSEAT 2004]

    A)            \[|f(x)-f(a)|<\in \]Þ\[|x-a|<\delta \]

    B)            \[|f(x)-f(a)|>\in \]Þ\[|x-a|>\delta \]

    C)            \[|x-a|>\delta \]Þ\[|f(x)-f(a)|>\in \]

    D)            \[|x-a|<\delta \]Þ\[|f(x)-f(a)|<\in \]

    Correct Answer: A

    Solution :

               It is obvious.


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