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Limits Continuity and Differentiability question

2021 · 27 Aug · Shift 2 · Q35

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 27 Aug · Shift 2 · Q35

Limits Continuity and Differentiability question

2021 · 27 Aug · Shift 2 · Q35

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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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