Let L= _ x 0 a- a^ 2 -x^ 2 - x^ 2 4 x^ 4 , a>0 . If L is finite, then

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

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
  1. a = 2
  2. a = 1

Answer

(C)

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