Question Detail

MTH 102 Limits Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

Using L'Hospital's Rule twice, the expression eventually evaluates to ( -\frac{1}{6} ).

Hint

Model Question 19.

Question Info