Subjects calculus

Limit Polynomial 5B0Bdc

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Limit Polynomial 5B0Bdc


1. **Problem:** Evaluate the limit $$\lim_{x \to 2} (x^2 - 4)$$ 2. **Formula and rules:** For limits of polynomial functions, direct substitution is valid because polynomials are continuous everywhere. 3. **Work:** Substitute $x=2$ into the expression: $$2^2 - 4 = 4 - 4 = 0$$ 4. **Explanation:** Since the function is continuous at $x=2$, the limit is simply the value of the function at that point. **Final answer:** $$\boxed{0}$$