यदि फलन f(x) = \(\left\{\begin{array}{c} \frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}} , \quad x\ne0 \\ a \log _e 2 \log _e 3, \quad x= 0 \end{array}\right.\) x = 0 पर सतत है, तो a2 का मान किसके बराबर है?

1
968
2
1152
3
746
4
1250

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