Anonymous at Sat, 14 Sep 2024 13:32:17 UTC No. 16379958

>>16379940
The square root of 2 is finite. Irrational numbers aren't infinite numbers. You are retarded.

Anonymous at Sat, 14 Sep 2024 16:08:26 UTC No. 16380144

>>16379958
>You are retarded.
You don’t have to be mean.

Anonymous at Sat, 14 Sep 2024 16:17:07 UTC No. 16380156

root 2 is the limit of the neverending sum

1.4142.... = 1 + 4/10 + 1/100 + 4/1000 + 2/10000 ....

This sum is finite because despite having infinite terms each term is an order of magnitude smaller than the previous term

1 + 9/10 + 9/100 + 9/1000 + .... > square root of 2, since every term of this series is greater than or equal to each term of square root of 2.
but suppose that 1 + 9/10 + 9/100 + 9/1000 + .... is greater than 2
then 9/10 + 9/100 + 9/1000 + .... > 1
but then there must be some point at which this series becomes greater than one, suppose that after n terms the series is greater than one.
then 9/10 + 9/100 + .... + 9/(10^n) > 1
but if we put all these terms over a common denominator, we get
((9(10^(n-1)) + 9(10^(n-2)) + .... + 9)/(10^n) > 1
by multiplying both sides by 10^n and reversing the order of the sum, we get
9 + 90 + 900 + ... + 9(10^(n-1)) > 10^n
but 9 + 90 + 900 + ... + 9(10(n-1)) = 99999...9 with n-1 digits. but the number 10^n = 10000...0 has n digits, so it's greater than 99999999......9
But this means that the inequality 9/10 + 9/100 + ... + 9/(10^n) > 1 leads to a contradiction, which means that 1 + 9/10 +....+ 9/(10^n) cannot be greater than 2, and hence this sum never exceeds a finite number and therefore the limit of it is finite. Since this sum is strictly greater than the sum that gives the square root of two, square root of two must also be finite, therefore the infinite sum converges and is not as you said an "infinite number".

Anonymous at Sat, 14 Sep 2024 16:30:16 UTC No. 16380200

>>16380144
You don't have to create threads without doing basic research first.

Anonymous at Sat, 14 Sep 2024 16:36:14 UTC No. 16380211

>>16380144
with trolls? I wish them a painful death.

Anonymous at Sat, 14 Sep 2024 16:43:26 UTC No. 16380226

>>16379940
>Cut your IQ in half
>Your IQ is now 1
>Ask a mathematician how many things you don't understand
>It's an infinite number

Stay in school, learn to use google

Anonymous at Sat, 14 Sep 2024 16:44:00 UTC No. 16380228

>>16380226
everyone doesn't understand an infinite number of things retard

Anonymous at Sat, 14 Sep 2024 16:46:37 UTC No. 16380238

>>16380228
You have an IQ of 1

Anonymous at Sat, 14 Sep 2024 16:49:35 UTC No. 16380244

>>16380226
kek
/thread

Anonymous at Mon, 16 Sep 2024 06:43:49 UTC No. 16382742

im not bumping it now, but it was legit a funny thread