Let f₁ : ℝ → ℝ, f₂ : (−π/2, π/2) → ℝ, f₃ : (−1, e^(π/2) − 2) → ℝ and f₄ : ℝ → ℝ be functions defined by (i) f₁(x) = sin(√(1 − e^(−x²))), (ii) f₂(x) = |sin x|/tan⁻¹x if x ≠ 0 and 1 if x = 0, where the inverse trigonometric function tan⁻¹x assumes values in (−π/2, π/2), (iii) f₃(x) = [sin(logₑ(x + 2))], where, for t ∈ ℝ, [t] denotes the greatest integer less than or equal to t, (iv) f₄(x) = x² sin(1/x) if x ≠ 0 and 0 if x = 0. LIST-I: P. The function f₁ is; Q. The function f₂ is; R. The function f₃ is; S. The function f₄ is. LIST-II: 1. NOT continuous at x = 0; 2. continuous at x = 0 and NOT differentiable at x = 0; 3. differentiable at x = 0 and its derivative is NOT continuous at x = 0; 4. differentiable at x = 0 and its derivative is continuous at x = 0. The correct option is: