Answer
$-1$
Work Step by Step
As we can see from the attached graph (please refer to the green one), as $x$ gets closer and closer to $0$ from the left and the right, the value of the function (the $y$-value) gets closer and closer to $-1$.
Thus, the limit is $-1$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/35d47937-f00a-43d1-8a4d-c8e43fef8a44/steps_image/small_1586256881.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T004155Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=d115cafa4e46e55f9bba7828681aee74f089a555ad0663c25fb51c2260f865d3)