Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q66
If lim_x → ∞(√(x^2-x+1)- ax )= b, then the ordered pair ( a, b ) is:
If $\displaystyle \lim _{x \rightarrow \infty}\left(\sqrt{x^2-x+1}-\mathrm{ax}\right)=\mathrm{b}$, then the ordered pair $\displaystyle (\mathrm{a}, \mathrm{b})$ is :
Official answer
(2)
$\displaystyle \left(1,-\frac{1}{2}\right)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.