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

  • question_answer
    If  \[f\left( x \right)=\left\{ \begin{matrix}    \frac{{{2}^{x}}-1}{\sqrt{1+x}-1}, & -1\le \,x<\infty ,x\ne 0\text{ }\!\!~\!\!\text{ }  \\    \text{ }k, & x=0\text{ }\!\!~\!\!\text{ }  \\ \end{matrix} \right.\] is continuous everywhere, then k is equal to \[{{\log }_{e}}\lambda \] then find \[\lambda \].

    Answer:

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