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Each day light has more time to reach our eyes from distant galaxies. In one day, light travels 2.59×10^10 km.

So our observable universe (assuming my simple math skills apply here and there isn't something about relativity to take into account), expands that much every day in all directions. So at what rate are new galaxies being encompassed by the expanding observable universe?

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You probably mean how many galaxies? Still, the observable universe horizon isn't limited by the age of the Universe, but its inflation. Number of observable galaxies is actually getting smaller, not larger. And the rate of change would not be linear with time either. –  TildalWave Jun 21 at 18:11
    
Edited. Someone has suggested closing this question, but it may be better to address the misunderstandings of the questioner in answers. –  Jeremy Jun 21 at 20:40

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