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Problem

AP Calculus AB

Factoring Away a Zero Over Zero

Evaluate $\lim_{x\to -2}\frac{x^2-x-6}{x^2-4}.$ Show the factoring that is valid for $x\neq -2$ , and explain why cancelling the common factor does not assert that the original quotient is defined at $x=-2$ .

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Type / for a fraction, ^ for a power, sqrt for a root, pi for π.

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