Your assumptions are wrong. The occupants of each rocket will not see the other moving “almost twice the speed of light.” Each will see the other moving close to but not up to *c* since nothing in either’s reference frame can exceed it. Someone else has already given the equation for the exact relative observed speed
This is neglecting the effect on light itself of each’s perceptions. Those will be severely messed up in ways that depend on the rockets’ orientation to each other
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