Questions

Let $L = \lim_{x \to 0} \frac{a - \sqrt{a^{2} - x^{2}} - \frac{x^{2}}{4}}{x^{4}}, a > 0$ if $L$ is finite, then

Moderate

A

$a = 1$

B

$a = 2$

C

$L = \frac{1}{32}$

D

$L = \frac{1}{64}$

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