Let L=x→0limx4a−a2−x2−4x2,a>0. IfL is finite ,then\displaystyle{\left({a}\right)}\displaystyle\frac{{a}={2} (b) a=1 (c)L=641 (d) L=321

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Let {L}=_{{{x}{0}}}{{{a}-{{{a}^{{2}}-{x}^{{2}}}}-{{{x}^{{2}}}}

Question

Let $L = x \to 0 lim \frac{a - a ^{2} - x ^{2} - \frac{x ^{2}}{4}}{x ^{4}}, a > 0$ . If $L$ is finite ,then\displaystyle{\left({a}\right)}

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Let

L = x \to 0 lim \frac{a - a ^{2} - x ^{2} - \frac{x ^{2}}{4}}{x ^{4}}, a > 0

. If

L

is finite ,then\displaystyle{\left({a}\right)}

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Question Text

Let

L = x \to 0 lim \frac{a - a ^{2} - x ^{2} - \frac{x ^{2}}{4}}{x ^{4}}, a > 0

. If

L

is finite ,then\displaystyle{\left({a}\right)}