Let L = lim x → 0 x 4 a − a 2 − x 2 − 4 x 2 , a > 0 . If L is finite, then, a = 2, a = 1, L = 64 1 , L = 32 1

Let L = lim x → 0 x 4 a − a 2 − x 2 − 4 x 2 , a

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Let $L=\lim _{x \rightarrow 0} \frac{a-\sqrt{a^2-x^2}-\frac{x^2}{4}}{x^4}$, $a>0$. If $L$ is finite, then

MathematicsLimitsJEE AdvancedJEE Advanced 2009 (Paper 1)

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Solution:

2275 Upvotes Verified Answer

The correct answers are:
$a=2$
,
$L=\frac{1}{64}$

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