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If the speed of light is 2.9972 x 10^8 m/s what is the maximum possible radius of the observable universe?

Answer 1

You would calculate it as approximately #1.3 xx 10^26# m, but it is actually closer to #4.4 xx 10^26# m

Since the universe began about #13.8# billion years ago, you would think that the maximum radius is the distance light travels in #13.8# billion years, i.e. #13.8# Gly, but that is not so. Using the speed of light given and the time interval, you would calculate the equivalent distance in meters as approximately #1.3xx10^26# m

The light we see from the most distant observable galaxies has been travelling for nearly #13.8# billion years, during which time the universe has been expanding significantly. The light from those galaxies is strongly red shifted, and the point from which the light came is now significantly more than #13.8# Gly away from Earth. It is closer to #46.5# Gly or about #4.4 xx 10^26 m#

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Answer 2

Owen Atkinson

Given the speed of light (2.9972 x 10^8 m/s), the maximum possible radius of the observable universe can be calculated as follows: 13.8 billion light-years. This figure is based on the distance light can travel since the universe's beginning, which is approximately 13.8 billion years.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.