A block of mass \(m\) rests on a horizontal frictionless surface and is attached to a rigid vertical wall by two ideal, massless springs connected in series. The springs have spring constants \(k_1\) and \(k_2\), where \(k_1\) is held fixed. The block is pulled horizontally, displacing both springs from their equilibrium lengths, and released from rest so that it undergoes simple harmonic motion with period \(T\). Which of the following correctly identifies the period of oscillation \(T\) in the limit as the second spring becomes infinitely stiff (\(k_2 \to \infty\)), and provides the correct physical justification?