If , then…

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

Problem

f(x) = \begin{cases} x, & \text{if } x \text{ is rational} \\ -x, & \text{if } x \text{ is irrational} \end{cases}

, then

\lim_{x \rightarrow 0} f(x)

is (a) Equal to 0 (b) Equal to 1 (c) Equal to -1 (d) Indeterminate