6. (5%) Prove \( \lim_{x \to 2} \frac{x^2 + x - 6}{x - 2} = 5 \) using the \( \varepsilon, \delta \) definition of a limit.
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6. (5%) Prove \( \lim_{x \to 2} \frac{x^2 + x - 6}{x - 2} = 5 \) using the \( \varepsilon, \delta \) definition of a limit.