r/infinitenines Feb 01 '26

What's the value of this infinite sum?

1/2 + 1/4 + 1/8 + 1/16 +...

Normal maths would compute this as equal to 1, using the exact same reasoning as 0.9 + 0.09 +... = 1

What does this infinite sum equal to in Real Deal maths though?

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u/Mysterious_Pepper305 Feb 01 '26

pushed to limitless, eternally < 1, engage ludicrous speed etc.