Question Detail

MTH 102 Limits Objective Question

Question

What is the limit of \( \frac{x^2 - 4}{x - 2} \) as \( x \) approaches 2 using L'Hospital's Rule?
Options
A 2
B 4
Correct Answer
C 0
D Undefined
Correct Answer

Option B is the correct answer.

Detailed Explanation

( f'(x) = 2x ) and ( g'(x) = 1 ). The limit as ( x \to 2 ) is ( 2(2) = 4 ).

Hint

Example 13 logic.

Question Info