lim(x -> oo) (sqrt(x^2 - x - 1) - ax - b...

`lim_(x -> oo) (sqrt(x^2 - x - 1) - ax - b) = 0` where `a > 0`, then there exists at least one a and b for which point `(a, 2b)` lies on the line

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(lim)(x->0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x])=
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lim(x -> oo) (sqrt(x^2 - x - 1) - ax - b) = 0 where a > 0, then there ...
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If lim(x->oo)((1+a^3)+8e^(1/ x))/(1+(1-b^3)e^(1/ x))=2, then there exi...
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