Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{3x^2 - 12}{x - 2} \) as \( x \) tends to 2.
Options
A 6
B 12
Correct Answer
C 0
D Undefined
Correct Answer

Option B is the correct answer.

Detailed Explanation

Factor ( 3x^2 - 12 = 3(x-2)(x+2) ). Cancel ( (x-2) ) and substitute ( x=2 ) to get ( 3(4) = 12 ).

Hint

Model Question 11.

Question Info