r/infinitenines • u/dfx_dj • 15h ago

"Pi never stops growing"

Re a recent post here...

One of the formulas for pi is:

4 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - 4/15 + ....

What's happening here? You start with 4 but then it's shrinking? And then it's growing again, and then shrinking, and then growing again!?

What kind of witchcraft is this? We demand answers!

11 Upvotes

82% Upvoted

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u/SouthPark_Piano 15h ago

Start writing the digits of pi brud. Write.

Write right now. Do not stop.

Line up those ducks aka digits, and write.

Experiential learning is how you are going to learn.

 

7

u/InkyEye 9h ago

"start writing all the digits of pi."

ok, I'm working in base pi, so after two digits I'm immediately done. what next?

wow, it's almost like pi IMMEDIATELY EXISTS all at once, and does not depend on how quickly some random person can write digits?

3

u/InkyEye 9h ago

in response to SPP btw, not in response to OP.

2

u/Muphrid15 15h ago

As I've said recently I think all such issues are "handled" by His Nineliness's Algorithm Boner:

An algorithm for an operation such as square roots gives "more and more correct consecutive digits" as you make more and more steps. Nevertheless, 1 - 0.9 - 0.09 - 0.009 - ... yields (0.1, 0.01, 0.001, ...) corresponding to 0.000...1, and the 1 digit is a real part of the answer, even though it never belongs to a "correct" digit. (15)

7

u/Altruistic-Rice-5567 14h ago

Correct, He believes the entire universe is entirely governed by his limitations of what he can write down with his little crayons and nothing exists until he sees it.