Question

complete the sentence below. if, as x approaches some number c, the values of |r(x)|→∞, then the line x = c is a of the graph of r. if, as x approaches some number c, the values of |r(x)|→∞, then the line x = c is a of the graph of r.

Explanation:

This is a definition - based question. In calculus, when as \(x\) approaches a number \(c\), \(|R(x)|\to\infty\), by the definition of a vertical asymptote. A vertical asymptote is a vertical line \(x = c\) such that the function \(R(x)\) approaches infinity (either positive or negative) as \(x\) approaches \(c\) from the left or the right.

Answer:

vertical asymptote