The set of points at which the function

The given function $f(x)=\frac{1}{\log |x|}$ is discontinuous when $\log |x|=0$.

Also, $x \neq 0 \quad$ (log 0 is not defined)

Now,

$\log |x|=0$

$\Rightarrow|x|=1$

$\Rightarrow x=\pm 1$

Thus, the given function is not continuous at x = 0, x = −1 and x = 1.

Hence, the set of points at which the given function is not continuous is {−1, 0, 1}.

The set of points at which the function $f(x)=\frac{1}{\log |x|}$ is not continuous, is __{−1, 0, 1}___