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JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    If \[f(x)=\left\{ \begin{align}   & x,\ \ \ \,\,\text{when}\ x>1 \\  & {{x}^{2}},\,\,\,\text{when}\,\,x<1 \\ \end{align} \right.\], then \[\underset{x\to 1}{\mathop{\lim }}\,f(x)=\] [MP PET 1987]

    A)                 \[{{x}^{2}}\]

    B)                 \[x\]

    C)                 \[-1\]

    D)                 1

    Correct Answer: D

    Solution :

                    \[\underset{x\to 1-}{\mathop{\lim }}\,f(x)=1=\underset{x\to 1+}{\mathop{\lim }}\,f(x)\].


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