Question

Prove that 3^(1/2) × 3^(1/4) × 3^(1/8) ... = 3

Let x = 1 + a + a² + ... and y = 1 + b + b² + ..., where |a| < 1 and |b| < 1. Prove that 1 + ab + a²b² + ... = xy/(x + y - 1)