Question Detail

MTH 102 Limits Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

This can be solved by combining fractions and using L'Hospital's rule or Taylor series, resulting in 0.

Hint

Exercise 1.1, Question 31.

Question Info