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If lim(x->oo)(sqrt(a^2x^2+a x+1)-sqrt(a^...

If `lim_(x->oo)(sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1))=klim_(x->oo)(sqrt(x+sqrt(x-sqrt(x)))-sqrtx)` then the value of k is :

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