This little guy craves the light of knowledge and wants to know why 0.999… = 1. He wants rigour, but he does accept proofs starting with any sort of premise.

Enlighten him.

  • bestmiaou@lemmygrad.mlEnglish
    9·
    4 months ago

    so, start with:

    x = 0.999…

    now multiply each side by 10

    10x = 9.9999…

    now we subtract x from the left side, and 0.999… from the right, which is fine because they are equal:

    9x = 9

    and from there it should be fairly obvious that x is also equal to 1, which means 0.999… is also equal to 1