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

  • question_answer
    Find the value of p, for which \[f\left( x \right)=\left\{ \begin{matrix}    \frac{{{\left( {{4}^{x}}-1 \right)}^{3}}}{\sin \left( \frac{x}{p} \right){{\log }_{e}}\left\{ 1+\left( \frac{{{x}^{2}}}{3} \right) \right\}}, & x\ne 0  \\    12{{\left( {{\log }_{e}}4 \right)}^{3}}, & x=0  \\ \end{matrix} \right.\] is continuous at \[x=0.\]

    Answer:

    4.00


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