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  3. 12th Class
  4. Mathematics

12th Class Mathematics Sample Paper Maths Olympiad Model Paper-6

  • question_answer
    \[f(x)=\left\{ \begin{matrix}    \frac{|x+2|}{{{\tan }^{-1}}(x+2)}, & x\ne -2  \\    2, & x=-2  \\ \end{matrix} \right.,\]  then f(x)  is

    A)  continuous at \[x=-2\]

    B)  not continuous at \[x=-2\]

    C)  differentiable at \[x=-2\]

    D)  continuous but not differentiable at \[x=-2\]

    E)  None of these

    Correct Answer: D

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