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 \[\lambda \].