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What star is closest to Earth (other than the sun) and is moving away from us (red shift)?

Answer 1

Barnad's star.

"The star is named after the American astronomer E. E. Barnard. He was not the first to observe the star (it appeared on Harvard University plates in 1888 and 1890), but in 1916 he measured its proper motion as 10.3 arcseconds per year, which remains the largest proper motion of any star relative to the Solar System.[17]" Wikipedia states that the star is approximately 6 light years away and has the highest proper motion.

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Answer 2

Luke Allen

Proxima Centauri is the star that is closest to Earth and is presently moving away from us due to redshift, aside from the Sun.

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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.