Evaluate the limit of (x^2 - 4)/(x - 2) as x approaches 2.
Answer and explanation
Correct answer: B. 4
- Step 1: Factorise the numerator: x^2 - 4 = (x - 2)(x + 2). Step 2. Cancel (x - 2): the limit of (x + 2) as x approaches 2 is 4. Answer: 4. Why not the others: 0: Direct substitution gives 0/0, which is indeterminate, not 0. 2: That is the value of x at the limit, not the limit of the expression. no limit exists: The limit exists after cancelling the common factor.
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