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/sci/ - Science & Math

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7926979 No.7926979[DELETED]  [Reply] [Original]

>0.99999... = 1

>> No.7926980

Babbys first math meme

>> No.7926991

If you can't understand why it does, you're retarded.

https://en.wikipedia.org/wiki/0.999......

>> No.7927005
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7927005

>>7926979
Sum of f (n) where n goes from 0 to infinity and f (n) = a*r^n is (a/1-r)

0.9999999.... is the sum to infinity of f (n) = 0.9*(0.1)^n.

0.9/(1-0.1)=0.9/0.9=1

>> No.7927037

>>7927005
>Sum of f (n) where n goes from 0 to infinity and f (n) = a*r^n is (a/1-r)

infinity = endless
the very definition of infinity defeats the validity of these meme principles
because infinity is endless, it will simply keep looping aproximations to an integer *indefinitely*, so to say that it sums to an integer is contradictory to the definition of infinity itself

just like 1/2 + 1/4 + 1/8... can only aproximate to 1, but will never be 1

>> No.7927048
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7927048

>>7927037
This isn't even funny anymore d00d

>> No.7927055
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7927055

>>7927048
the delusion is real

>> No.7927069

>>7926979
1.999… can be as bad as 0.999…

>> No.7927184

>>7926979

[math] \infty - \infty = 0 [/math]

add one to both sides..
[math] \infty - \infty + 1 = 0 + 1 [/math]

Because [math] \infty + 1 = \infty [/math] and [math] 0 + 1 = 1 [/math] then we can simplify.
[math] \infty - \infty = 1 [/math]

>> No.7927190
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7927190

> 3/3 ≠ 1

>> No.7927191
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7927191

W

>> No.7927197

0.99999... = 1 - ε

0.99999... + ε = 1

ε ≈ 0

0.99999... ≈ 1

>> No.7927216

>>7927184
you cant do that.
infinity is not a number.

>> No.7927217

>>7927197
>0.99999... = 1 - ε
>0.99999... + ε = 1
>ε ≈ 0
>0.99999... ≈ 1

No. No non zero infinitesimals the reals.

>> No.7927229

>>7927217
Huh?

>> No.7927235

>>7927197
The thing that separates numbers is that there is an infinite amount of numbers in between the number you pick and another number you pick.
If 0.999.. is defined to be literally the number before 1 so that there are no numbers in between them both means that 0.999... = 1 (they both have the same VALUE, it's not the same number)

There are actually more proves for that but this is a cool one.

>going for all the b8

>> No.7927242

any number over 9 will be repeating
1/9 =.111...
2/9 = .222...
3/9 = .333...
9/9 = .999... = 1 because 9/9 is obviously 1

checkmate athiests

>> No.7927291

>>7927229
What's the number you're adding?

>> No.7927297

>>7927291
0.00000...1

>> No.7927306

>>7927217

>≈

What's approximate about it?

>>7927297
After how many places does the 1 fall?

>> No.7927375

>>7927297
That number is simply zero. You can't just stop and put a 1 after an infinite amount of zeros because the zeros would be no longer infinite. An infinite amount of zeroes after the decimal place is just... zero.

>> No.7927421

>>7927375
There's infinity zeros and a single 1. Back to the drawing board, chap

>> No.7927499

>>7927306
It means almost equals.

>> No.7927515

>>7927216

That's the point, he was showing infinity - infinity is undefined.

>> No.7927520 [DELETED] 

>>7927197
>/varepsilon

my nigga

>> No.7927523

>>7927421
>infinity zeros
>then a one
but then it's only finite zeros

>> No.7927561

>>7927523
Think of it like infinity + 1 if it's easier that way

>> No.7927573

>>7927561
yeah but then you have 0.0000000.......0000100000000000000... since you can always add another zero at the end without changing the number

>> No.7927588

>>7927573
The very idea that zero or any other number could occur at the infinity +2 place is laughable

>> No.7927626

>>7927588
then show the axiom/proof that says so

>> No.7927723

>>7927499
I understand what it means. I just don't see why you use it. 0.999... Is 1. There's no "almost" about it. If I'm wrong show me the real number that falls in between them. If there is no real number in between them they are the same number.

>> No.7927759

>>7927626
this is not how math works. you cant throw out ideas that have no relation to any axiomatic system and say "why am i wrong?", we dont have the time to deal with nuts like that. if you think what you say has merit, then show it. what do you even mean with "first there are infinitely many 9s, then there is a 0"?

>> No.7927930

Everything here is a lie.

>> No.7927941

>>7927930
Don't lie to us.

>> No.7927945

>>7927759
What's the answer, then?

>> No.7928228

>>7927216
Yes, the whole point was to demonstrate the idiocy. Try to keep up.

>> No.7928284

>>7927069
https://www.youtube.com/watch?v=r5DHquP1HWU