JEE Math Practice Question
If $$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax} \right) = b$$, then the ordered pair (a, b) is :
- A.$$\left( {1,{1 \over 2}} \right)$$
- B.$$\left( {1, - {1 \over 2}} \right)$$
- C.$$\left( { - 1,{1 \over 2}} \right)$$
- D.$$\left( { - 1, - {1 \over 2}} \right)$$
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