Your question is a bit of a paradox! It's impossible for a star to be both the nearest and farthest from Earth at the same time.

Let's break it down:

* Nearest Stars: The closest star to Earth is Proxima Centauri, a red dwarf located about 4.24 light-years away. Other nearby stars include Alpha Centauri A and B, part of the same star system.

* Farthest Stars: The universe is vast! We can't see the absolute farthest stars, as the light from them hasn't reached us yet. However, we can identify some of the most distant objects we've observed, which are often galaxies. These are billions of light-years away.

So, to answer your question directly:

* Nearest: Proxima Centauri

* Farthest: We don't know the absolute farthest, but the most distant objects we've observed are billions of light-years away.

Let me know if you have any more questions about stars and space!