Subjects calculus

Limit Quadratic

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Limit Quadratic


1. Stating the problem: We need to find the limit $$\lim_{x \to 2} (x^2 - 4)$$. 2. Understand the function: The expression inside the limit is a polynomial $$x^2 - 4$$, which is continuous everywhere. 3. Since the function is continuous, the limit as $$x$$ approaches 2 can be found by direct substitution. 4. Substitute $$x = 2$$ into the expression: $$2^2 - 4 = 4 - 4 = 0$$ 5. Therefore, the limit is $$0$$. Final answer: $$\lim_{x \to 2} (x^2 - 4) = 0$$