Question Id : 14342 |
Context : JEE Main 2024 (4 April Evening Shift)
If the function
$
f(x)=
\begin{cases}
\dfrac{7^{x}-9^{x}-8^{x}+1}{\sqrt{2}-\sqrt{1+\cos^{2}x}}, & x\neq0,\\[6pt]
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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