Let , where . If is finite,…

MATHEMATICS · Multi correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let

L=\lim_{x\to0}\frac{a-\sqrt{a^2-x^2}-\frac{x^2}{4}}{x^4}

, where

a>0

. If

L

is finite, then (1)

a=2

(2)

a=1

(3)

L=\frac{1}{64}

(4)

L=\frac{1}{32}