The value of the constant \[\alpha \] and \[\beta \] such that \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+1}{x+1}-\alpha x-\beta \right)=0\] are respectively [Orissa JEE 2005]

The value of the constant \[\alpha \] and \[\beta \] such that \[\unde

1.	The value of the constant \[\alpha \] and \[\beta \] such that \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+1}{x+1}-\alpha x-\beta \right)=0\] are respectively [Orissa JEE 2005]
A.	(1, 1)
B.	(?1, 1)
C.	(1, ?1)
D.	(0, 1)
Answer» D. (0, 1)

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The value of the constant \[\alpha \] and \[\beta \] such that \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+1}{x+1}-\alpha x-\beta \right)=0\] are respectively [Orissa JEE 2005]

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