Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{x^2 - x - 6}{x^2 - 9} \) as \( x \) tends to 3.
Options
A \(\frac{5}{6}\)
Correct Answer
B 1
C \(\frac{2}{3}\)
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

Factor as ( \frac{(x-3)(x+2)}{(x-3)(x+3)} ). Cancel ( (x-3) ) and substitute ( x=3 ) to get ( \frac{5}{6} ).

Hint

Model Question 22.

Question Info