Let L equals limit as x tends... | JEE Advanced 2009| Limits

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

Select ALL correct options:

A

$\mathrm{a}=2$

B

$\mathrm{a}=1$

C

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

D

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

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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