Hmm, some of you young fellas need to study a bit more theory! A motor start capacitor is traditionally an electrolytic device placed in series with the starting winding and switched out as the motor reaches around 75% speed. Its main function is to increase the starting torque of a single phase motor by providing additional phase shift to the starting winding. Never seen one that had only a limited starting cycle, but willing to accept that some of the junk now being manufactured could well be the case!
A run capacitor on the other hand was traditionally a "paper" device, but now made with better material. It is designed to stay in circuit with either an auxiliary winding, or the start winding if so designed. But its main function is again to provide a phase shift to increase the motor torque.   
Getting too old to both argue or explain the theory, so the following is just one of many examples on the Internet. Google Cap start Cap run motors. Cheers. Grandpa! 
What is a Capacitor Start Capacitor Run Motor? -  its Phasor Diagram & Characteristics - Circuit Globe 
			
		
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