The value of $\lim _ { x \rightarrow \infty } \operatorname { erfc } ( x )$ is
A) 0
B) 1
C) $\pi / 2$
D) $\sqrt { \pi / 2 }$
E) $\sqrt { \pi } / 2$

Question

Quizplus · Accepted Answer

The error function complement, $\text{erfc}(x)$, approaches 0 as $x$ approaches infinity. This is because $\text{erfc}(x)$ is defined as $1 - \text{erf}(x)$, where $\text{erf}(x)$ approaches 1 as $x$ approaches infinity, leaving $\text{erfc}(x)$ to approach 0.

The Value Of lim⁡x→∞erfc⁡(x)\lim _ { x \rightarrow \infty } \operatorname { erfc } ( x )limx→∞​erfc(x)

The Value Of $\lim _ { x \rightarrow \infty } \operatorname { erfc } ( x )$