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Limits Continuity And Differentiability

JEE Main 2024 (Online) 4th April Evening Shift

MCQ+4 / -12024

If the function


$$f(x)= \begin{cases}\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}}, & x \neq 0 \\ a \log _e 2 \log _e 3 & , x=0\end{cases}$$


is continuous at \(x=0\), then the value of \(a^2\) is equal to

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