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JEE Main & Advanced Sample Paper JEE Main Sample Paper-30

  • question_answer
    If\[f(x)=\left[ \begin{matrix}    2+x\,\,if\,\,\,\,x\ge 0  \\    2-x\,\,if\,\,\,\,x<0  \\ \end{matrix} \right.\], then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] is equal to                                     

    A)  0                                

    B)  2

    C)  4                   

    D)  does not exist

    Correct Answer: C

    Solution :

    \[\underset{x\to {{0}^{+}}}{\mathop{Lim}}\,f(f(x))=f(f({{0}^{+}}))=f({{2}^{+}})=4\] \[\underset{x\to {{0}^{-}}}{\mathop{Lim}}\,f(f(x))=f(f({{0}^{-}}))=f({{2}^{+}})=4\]                  


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