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๐Ÿงต difficult

Anonymous No. 16633682

f(1, x) = (x + 1)/(x + 2)
f(2, x) = [(x + 1)/(x + 2)]/[(x + 3)/(x + 4)]
f(3, x) = f(2, x)/([(x + 5)/(x + 6)]/[(x + 7)/(x + 8)])
f(4, x) = f(3, x)/f(3, x + 8)
f(5, x) = f(4, x)/f(4, x + 16)
...
f(n + 1, x) = f(n, x)/f(n, x + 2^n)

f(infinity, 0) = 1/sqrt(2)

f(1, 1) = 2/3 ~ 0.666666
f(2, 1) = 5/6 ~ 0.833333
f(3, 1) = 70/81 ~ 0.864198
f(4, 1) = 9163/10530 ~ 0.870180
f(5, 1) = 31941470/36669429 ~ 0.871065
f(6, 1) = 94551690931328125/108536427383801742 ~ 0.871152

f(infinity, 1) = ?

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Anonymous No. 16633690

Is it right? It did a fuck ton of analysis to get to this point

Anonymous No. 16633968

>>16633682
>Copy and paste a simple flux integral into Google
>AI gets it wrong
>Chatgpt gets it wrong
>Deepseek gets it wrong

FUCK AI YOU GARBAGE TIER DOGSHIT TRASH

Anonymous No. 16634209

>>16633690
from this definition,
>f(n + 1, x) = f(n, x)/f(n, x + 2^n)
it doesn't seem right, unless i made an error.

set x =1, n=infinity, n+1 = n

if i understand , gemini is saying f(infinity,infinity) = sqrt(2)

can you post the work?