Question Detail
Question
Evaluate the limit of \( \frac{x^2 - 4}{x^2 + x - 6} \) as \( x \) tends to 2.
Correct Answer
Option A is the correct answer.
Detailed Explanation
Factorising gives ( \frac{(x-2)(x+2)}{(x-2)(x+3)} ). Cancelling ( (x-2) ) leaves ( \frac{x+2}{x+3} ), which is ( \frac{4}{5} ) at ( x=2 ).
Hint
Model Question 2.