Question

The Value of \( \lim_{x \to 0} \frac{\sin x}{x} \) is:

• A. 0
• B. 1
• C. -1
• D. 2

Hint:

Remember the standard limit \( \lim_{x \to 0} \frac{\sin x}{x} = 1 \), which is fundamental in calculus.

Answer 1

The Correct Option is B

Step 1: Understanding the limit.
The limit \( \lim_{x \to 0} \frac{\sin x}{x} \) is a well-known standard limit in calculus. It represents the ratio of \( \sin x \) to \( x \) as \( x \) approaches 0.
Step 2: Applying the standard result.
The value of \( \lim_{x \to 0} \frac{\sin x}{x} \) is known to be 1.
Step 3: Conclusion.
Therefore, the value of \( \lim_{x \to 0} \frac{\sin x}{x} \) is 1. Final Answer:} 1.