limx → 0 (x ^ 3 + 1) / (x + 1) sin2x

limx → 0 (x ^ 3 + 1) / (x + 1) sin2x

limx → 0
∴ (x ^ 3 + 1) / (x + 1) sin2x → 1 / 1 × sin2x → 1 × sin2x → 1 × sin2x → 1 × 0 → 0