JEE Advanced · Mathematics · 16. Limits
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
- A
\(a=2\)
- B
\(a=1\)
- C
\(L=\frac{1}{64}\)
- D
\(L=\frac{1}{32}\)
Answer & Solution
Correct Answer
(C)
\(L=\frac{1}{64}\)
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