It never goes to infinity either. Zero and infinity are the limits.
> An infinite number of small numbers adds up to infinity.
Well, no. It depends. For instance the sum of 1/n goes to infinity, but not the sum of 1/n². And since the luminosity of a star decreases with the square of the distance, I incline to believe the sum does converge.
But again, that would require some serious, albeit probably not very hard maths. I've never seen anyone discuss this. Instead everyone seems to immediately assume the sum would diverge. That's not obvious at all.
It never goes to infinity either. Zero and infinity are the limits.
> An infinite number of small numbers adds up to infinity.
Well, no. It depends. For instance the sum of 1/n goes to infinity, but not the sum of 1/n². And since the luminosity of a star decreases with the square of the distance, I incline to believe the sum does converge.
But again, that would require some serious, albeit probably not very hard maths. I've never seen anyone discuss this. Instead everyone seems to immediately assume the sum would diverge. That's not obvious at all.