If the function
$$f(x)= \begin{cases}\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}}, & x
eq 0 \ a \log _e 2 \log _e 3 & , x=0\end{cases}$$
is continuous at $$x=0$$, then the value of $$a^2$$ is equal to

Question

If the function
$$f(x)= \begin{cases}\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}}, & x 
eq 0 \ a \log _e 2 \log _e 3 & , x=0\end{cases}$$
is continuous at $$x=0$$, then the value of $$a^2$$ is equal to

Accepted Answer

Correct answer: C

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