Are you polite?

[Fazzu]

1) May I come in, Sir?
2) Might I come in, Sir?

Is 'might' more politer than 'may'?

[Casiopea]

From bartley.com, When used to express permission, might has a higher degree of politeness than may. Thus, Might I express my opinion conveys less insistence than May I express my opinion.

According to the Guide to Grammar and Writing, Might is considerably more tentative than may,

May I leave class early?
If I've finished all my work and I'm really quiet, might I leave early?

Correction
politer or more polite, not more politer

[Fazzu]

Oh thanks a lot for the correction and for the answer for my question.

[Casiopea]

You're most welcome, Fazzu.