question_answer

The value of \[\underset{x\to \infty }{\mathop{\lim }}\,(\sqrt{{{a}^{2}}{{x}^{2}}+ax+1}-\sqrt{{{a}^{2}}{{x}^{2}}+1})\] is

A)  \[\frac{1}{2}\]             

B)  \[1\]             

C)  \[2\]                

D)  None of these