If light doesn’t experience time, how does it have a limited speed?
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Think of it this way. We should not be using the phrase “speed of light” because it’s making you think about that speed wrong. Light travels at a speed we call “C” and C is simply the maximum speed for ANYTHING in the universe. All massless particles travel at C. The speed at which you feel changes in space-time is C. And since speed, time and mass are all intertwined somehow, C is when there is no time and mass becomes infinite. None of this makes any sense of course. The “why” behind it is almost certainly far behind our mind’s ability to grasp.
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