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Limits Continuity And Differentiability

MHT CET 2024 9th May Morning Shift

MCQ+2 / -02024

Let k be a non-zero real number.
If $f(x)=\left\{\begin{array}{cl}\frac{\left(\mathrm{e}^x-1\right)^2}{\sin \left(\frac{x}{k}\right) \log \left(1+\frac{x}{4}\right)} & , x \neq 0 \\ 12 & , x=0\end{array}\right.$
is a continuous function, then the value of $k$ is

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