The rational function is to be continuous at every real number

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The rational function

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

is to be continuous at every real number. Which one of the following pairs

(p,q)

satisfies this requirement? (a)

(2,1)

(b)

(-2,1)

(c)

(0,-1)

(d)

(0,1)