Evaluate the limit: .
Answer and explanation
Correct answer: A.
- Step 1: Direct substitution gives . Rationalize the numerator by multiplying by the conjugate .
- Step 2: Numerator becomes .
- Step 3: Cancel : .
Answer
.
Why not the others: '1/3' takes but omits adding the second 3 in the denominator; '0' evaluates the limit of the numerator only; '1/9' squares the 3 in the denominator.
Practise more Basic results.
Free questions with an explanation for every one, and full timed AP (Advanced Placement) mock tests.