The number of real solutions of the equation sin⁻¹(Σᵢ₌₁∞ x^(i+1) − xΣᵢ₌₁∞(x/2)^i) = π/2 − cos⁻¹(Σᵢ₌₁∞(−x/2)^i − Σᵢ₌₁∞(−x)^i) lying in the interval (−1/2, 1/2) is _____. (Here, the inverse trigonometric functions sin⁻¹x and cos⁻¹x assume values in [−π/2, π/2] and [0, π], respectively.)