vary on the x-axis and what I'll do is I'll just make n larger and as n gets larger what you notice is what you should see is that the static curve and the dynamic curve the peaks are going to come together okay and so that's what happens in the limit here so this this is the limiting value with n going to infinity the purple curve is what I get from dynamic pricing again defined the way that I talked about it where this is one of the two prices and the other price is varying on the x-axis and the blue curve is the one I just showed you