Question

The function $f\left(x\right)=\frac{4-4x^2}{4x-x^3}$ is

• A. discontinuous at only one point
• B. discontinuous at exactly two points
• C. discontinuous at exactly three points
• D. None of these

Answer 1

Answer: (C)

$f\left(x\right)=\frac{4-4x^2}{4x-x^3}$
$=\frac{4-x^2}{x\left(2-x\right)\left(2+x\right)}$
So, $f(x)$ is discontinuous at $x=0$, $2$, $-2$.