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Let`L=lim_(xto0) (a-sqrt(a^(2)-x^(2))-(x^(2))/(4))/(x^(4)),agt0`. If L is finite, then |
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Answer» Correct Answer - 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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