A block of mass \(m_1\) rests on a frictionless horizontal tabletop and is connected by a light, non-stretching string to a suspended block of mass \(m_2\). The string passes over a uniform solid cylindrical pulley of mass \(M\) and radius \(R\) that rotates about a frictionless axle at its center without the string slipping. Let \(T_1\) denote the tension in the horizontal segment of the string attached to \(m_1\), and let \(T_2\) denote the tension in the vertical segment attached to \(m_2\). In the theoretical limit as the pulley mass approaches infinity (\(M \to \infty\)), which of the following correctly describes the values toward which \(T_1\) and \(T_2\) approach?