The value of the constant and such that are respectively

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The value of the constant α\alpha and β\beta such that lim⁡x→∞(x2+1x+1−αx−β)=0\lim_{x \rightarrow \infty} \left( \frac{x^2+1}{x+1} - \alpha x - \beta \right) = 0 are respectively (a) (1, 1) (b) (-1, 1) (c) (1, -1) (d) (0, 1)

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