Mathematics · JEE | LIMITS AND DERIVATIVES

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The limit \( \lim_{x \to 0} \frac{\sin x}{x} = 1 \) where \( x \) is measured in radians. Reason (R): The ratio of the chord length to arc length approaches 1 as the central angle approaches 0. In the light of the above statements, choose the correct answer from the options given below:

1. A
   Both (A) and (R) are true and (R) is the correct explanation of (A).
2. B
   Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. C
   (A) is true but (R) is false.
4. D
   (A) is false but (R) is true.