Due to that, limx→2 (sin 2x/x) It can be written as; limx→2 (sin 2x/2x) × 2 When we multiply by two on both sides, we get, We also know that limx2 (sin x/x) = 1 Therefore, limx→2 (sin 2x/2x) × 2 = 1 × 2 = 2 So, the correct answer is 2.