Evaluate the limit as x → 2 of (x² − 4)/(x − 2).

Answer and explanation

Correct answer: B. 4, after cancelling the factor x − 2

  1. Step 1: Factorise the numerator: (x − 2)(x + 2). Step 2. Cancel x − 2, leaving x + 2 = 4. Answer: 4. Why not the others: direct substitution gives 0/0, which is undefined rather than 0, 2 or non-existent.

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