Question Detail
Question
Evaluate the limit of \( \frac{4}{x^2 - 4} - \frac{1}{x-2} \) as \( x \) tends to 2.
Correct Answer
Option B is the correct answer.
Detailed Explanation
Combining fractions gives ( \frac{4 - (x+2)}{x^2-4} = \frac{2-x}{(x-2)(x+2)} = -\frac{1}{x+2} ). At ( x=2 ), this is ( -\frac{1}{4} ).
Hint
Exercise 1.1, Question 39.