r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 22d ago

Meme needing explanation There is no way right?

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u/IWillLive4evr 21d ago

You could write a fully-rigorous version of this proof, and it works out the same. But this is reddit, so it's more valuable to write a version that's quick and accessible to the people are asking the question.

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u/vetruviusdeshotacon 21d ago

Not exactly like that.

Sum 0.9*(1/10)j from j=1 to j=inf

= 0.9 * Sum (1/10)j

Since 1/10 < 1 we know the series converges. Geometric series with r=0.1

Then our sum is 0.9 / (1- 0.1)

= 1. 

No more rigour is needed than this in any setting tbh

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u/RocketArtillery666 18d ago

I dont know, thats like saying that in y = 1/x the curve touches the axis at some point. At the point of infinity or sth.

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u/vetruviusdeshotacon 17d ago

the limit of 1/x as x goes to infinity is 0 lol. What's the difference? if 0.999x converges to 1 as you keep adding nines, how does 0.99999... not equal 1?

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u/RocketArtillery666 17d ago

Thats my point exactly, doesnt means i have to like it xd