JEE Main 202127 Aug, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If limx→∞(x2−x+1−ax)=b\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax} \right) = bx→∞lim(x2−x+1−ax)=b, then the ordered pair (a, b) is :AOption A. (1,12)\left( {1,{1 \over 2}} \right)(1,21)BOption B. (1,−12)\left( {1, - {1 \over 2}} \right)(1,−21)COption C. (−1,12)\left( { - 1,{1 \over 2}} \right)(−1,21)DOption D. (−1,−12)\left( { - 1, - {1 \over 2}} \right)(−1,−21)CheckSkip · show solution
