The function is defined by

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

Problem

The function

f

is defined by

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

. For what value of

p

does

\displaystyle \lim_{x\to\infty} f(x)=4

? (a)

7

(b)

4

(c)

8

(d)

12