Let , where . Which of the following gives the end behavior of as…

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

Problem

Let

f(x)=\dfrac{2x^{2}+3x-5}{x-1}

, where

x\neq1

. Which of the following gives the end behavior of

f

x\to\infty

? (a)

2x-5

(b)

2+\dfrac{7}{x}

(c)

2x+5

(d)

2x