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JEE Main & Advanced Mathematics Limits, Continuity and Differentiability Question Bank Numerical Value Type Questions - Continuity and Differentiability

  • question_answer
    If the function   \[f(x)=\left\{ \begin{matrix}    \frac{\sin \sqrt[3]{x}\,\log \,(1+3x)}{{{({{\tan }^{-1}}\sqrt{x})}^{2}}({{e}^{5\sqrt[3]{x}}}-1)}, & x\ne 0  \\    a, & x=0  \\ \end{matrix}, \right.\] is continuous at \[x=0\] then find a.

    Answer:

    0.60


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