Question Detail

MTH 102 Limits Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

Using L'Hospital's rule: ( \frac{1/(2+x)}{1} ). At ( x=-1 ), this is ( \frac{1}{1} = 1 ).

Hint

Exercise 1.1, Question 34.

Question Info