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JEE Math Practice Question

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

  1. A.968
  2. B.1250
  3. C.1152
  4. D.746

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