Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{3x^2 + 3ax - 2a^2}{x^2 - a^2} \) as \( x \) tends to \( a \).
Options
A \(\frac{4}{3}\)
B Infinity
C Undefined
Correct Answer
D \(\frac{9}{2}\)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Substituting ( x = a ) gives ( \frac{3a^2 + 3a^2 - 2a^2}{0} = \frac{4a^2}{0} ), which is undefined.

Hint

Exercise 1.1, Question 14.

Question Info