Question

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

• A. \( 1 \)
• B. \( 0 \)
• C. \( \infty \)
• D. Does not exist

Hint:

Remember that \( \lim_{x \to 0} \frac{\sin x}{x} = 1 \) is a standard result in calculus that you should know.

Answer 1

The Correct Option is A

We are asked to find the limit \( \lim_{x \to 0} \frac{\sin x}{x} \). Step 1: Recall a standard limit result The limit \( \lim_{x \to 0} \frac{\sin x}{x} = 1 \) is a well-known standard result in calculus. Step 2: Conclusion Thus, the value of the limit is: \[ \lim_{x \to 0} \frac{\sin x}{x} = 1 \] Answer: The value of the limit is \( 1 \), so the correct answer is option (1).