A mass particle is constrained to move in a horizontal straight line and is attached to th...

A mass particle is constrained to move in a horizontal straight line and is attached to the ends of two ideal springs of equal force constants, as shown in the diagram. The unstretched length of each spring is b ≤ a. Use perturbation theory to first-order to find the lowest order correction to the frequency of oscillation for finite amplitude of oscillation. What happens as a approaches b in magnitude?