Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{(x+3)(2x-1)}{x^2 + x - 2} \) as \( x \) approaches -1.
Options
A 3
Correct Answer
B \(\frac{3}{2}\)
C Indeterminate
D \(\frac{3}{-2}\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Direct substitution: ( \frac{(-1+3)(2(-1)-1)}{1 - 1 - 2} = \frac{(2)(-3)}{-2} = \frac{-6}{-2} = 3 ).

Hint

Exercise 1.1, Question 19.

Question Info