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Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4...

Let L=`lim_(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0`. If L is finite, then

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The correct Answer is:
A, C
`L=underset(xto0)lim(a-sqrt(a^(2)-x^(2))-(x^(2))/(4))/(x^(4))`
`=underset(xto0)lim((1)/(x^(2)(a+sqrt(a^(2)-x^(2))))-(1)/(4x^(2)))`
`=underset(xto0)lim((4-a)-sqrt(a^(2)-x^(2)))/(4x^(2)(a+sqrt(a^(2)-x^(2))))`
Numerator` to" if "a=2` and then `L=(1)/(64)`.
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