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Limits Continuity And Differentiability

MHT CET 2023 9th May Evening Shift

MCQ+2 / -02023

$$f(x)=\left\{\begin{array}{ll} \frac{1-\cos k x}{x^2}, & \text { if } x \leq 0 \\ \frac{\sqrt{x}}{\sqrt{16+\sqrt{x}}-4}, & \text { if } x>0 \end{array}\right. \text { is continuous at }$$
\(x=0\), then the value of \(\mathrm{k}\) is

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