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Do all stars have atmospheres?

Answer 1

Yes they do. Although a stellar atmosphere differs from a planetary atmosphere. It is very small if we compare it to the star.

*If you meant corona or the outermost part of the stellar atmosphere/ or just the outer atmosphere: No

While all stars on the main sequence feature transition regions and coronae, not all evolved stars do so
We think, that only some giants, and just few supergiants, possesse coronae.

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Answer 2

Jordan Andrews

Indeed, not every star has an atmosphere.

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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.