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Why Does LED not Operate at High Frequencies

Need help in figuring our the LED frequency.
So, I simply connected an LED (forward voltage of 3.3v) with a series resistor (85 ohm), that should give 20mA of current to the LED.
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Then , connected the frequency generator to the series circuit, the LED.  Worked pretty good at about 900kHz .. but when I increased to 10Mhz or more than 3-4 Mhz... the lED just stopped working.... why is that ?
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How to determine the maximum frequency of the LED?
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I know LEDs cannot work for higher frequencies but what is the possible explanation for that ? Is that the depletion region ? or any losses effect?

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