If $f(x) = \begin{cases} x^2 - 1 & \text{if } x \ge 2 \\ x + 1 & \text{if } x<2 \end{cases}$, then $\lim_{x \to 2^+} f(x) + \lim_{x \to 2^-} f(x) = $
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For piecewise functions, the most critical step is selecting the correct "piece" of the equation based on whether you are evaluating a left-sided limit ($x<c$) or a right-sided limit ($x>c$).