Answer
The limit doesn't exist.
Work Step by Step
As we can see on the graph as $x$ is getting closer and closer to $0$ from the left, the function values are getting closer and closer to $1$. However, as $x$ is getting closer and closer to $0$ from the right, the function values are getting closer and closer to $-1$.
$1\ne-1$, thus the limit doesn't exist.
