Let \(\mathrm{f}:\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \rightarrow \mathrm{R}\) be a differentiable function such that \(f(0)=\frac{1}{2}\), If the \(\lim _{x \rightarrow 0} \frac{x \int_0^x f(t) d t}{e^{x^2}-1}=α\), then 8α2 is equal to:
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16
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2
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1
4
4