`{{:((x)/(|x|)","if x lt 0 ),(-1"," if x ge 0 ):}` Check continuity of f(x) at x = 0

Explanation

To check the continuity of the function \( f(x) \) at \( x = 0 \), we need to verify the following conditions:

1. The left-hand limit (LHL) as \( x \) approaches 0 from the left.
2. The right-hand limit (RHL) as \( x \) approaches 0 from the right.
3. The value of the function at \( x = 0 \).

The function is defined as:
\[
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