1. **State the problem:** Evaluate the limit expressions and simplify the given expressions involving $x$ approaching 0. 2. **Given expressions:** - $[1 + x] - 1$ evaluated at $x=0$ is $[1 + 0] - 1 = 0$ - $-[2 + x] - 1$ evaluated at $x=0$ is $-[2 + 0] - 1 = -2 - 1 = -3$ 3. **Check the combined expression:** The user writes $-\frac{1}{2} - \frac{1}{2} = -1$ which suggests a sum of two halves. 4. **Interpretation:** The expressions seem to be limits or values at $x=0$ of functions like $f(x) = [1+x] - 1$ and $g(x) = -[2+x] - 1$, and their sum is $-1$. 5. **Final answer:** The evaluated sum of the expressions at $x=0$ is $-1$. This matches the user's conclusion.