An infinite number of masses are placed on a frictionless table and they are connected via massless strings. Their masses follow the sequence, \(m, \frac{m}{2}, \frac{m}{6}, \ldots \ldots \ldots \ldots . . \frac{m}{n !}\),............ and they are further connected to a mass m that hangs over a massless pulley. The acceleration of the hanging mass is