/sci/ - Science & Math

>>10509318
You cant just subtract infinities from one another or consider the partial sum of a series as the same series. Go read a calculus book

>>10509318
It doesn't equal anything you mong, you can define 1/2 as a kind of characteristic of the series but it doesn't equal shit

>>10509318
[math]1-1+1-1+1... [/math]
[math]1-1+(1+1)-1+(1+1+1)-1... [/math]
[math]1-1+2-1+3-1... [/math]
[math]1+2+3+4... -1-1-1-1...[/math]
[math]-\frac{1}{12}-1-1-1-1...[/math] is a negative number

Positive numbers doesn't exist. QED

>>10509485
>>10509596
1/x - 1/x^2 + 1/x^3 -1/x^4 +... = 1/(x+1)
Proof: Multiply both sides by (x+1), gives
1 - 1/x + 1/x^2 - 1/x^3 +...
+ 1/x - 1/x^2 + 1/x^3 -...
Total = 1.
Sub in x=1 to original sequence.

>>10509633
Prove the first sequence is equal

>>10509647
That's what I did in the next few lines.

On today's episode of Today I realised™
An anonymous, mysterious person from his profile picture-on the famous "that part of the internet" site 4chan, specifically on one of its boards /sci/- Science AND Math, most knowingly for its high IQ discussions gathering the top notch, la crème de la crème university graduates and scholars all accross the globe *ahem* world- found after extremely long and complex calculations a mesmerizing result that will surely shock you. Click here to find out.

>>10509647

>>10509683
Mathematicians HATE this man!

>>10509672
You didn't prove that the sequence equals 1 either

>>10509695
Only true for x in ]-1,1[
Moreover, it's a limit, not a finite sum, so it needs conditions to yeah lmao brainlet sub 50 IQ just sub in x=391

>>10509720
-1 doesn't work because you can't divide by zero, but why does 1 not work?

>>10509714
Show the fault? Plug in some ,1 values. It is correct.

>>10509841
less than 1, should be.

>>10509841
You don't prove things in math by plugging in random values, you must prove it for an arbitrary x if you wish to use that notation.

>>10509695
t. Engineer major

>>10509720
>>10509861
niggers out here really using the partial sum definition baka

>>10509879
What are you even saying

>>10509900
see >>10509861

>>10509915
Why is this board of NEET autists who can't communicate properly

>>10509672
How the fuck is 1/x - 1/x^2 + 1/x^3 -1/x^4 +... equal to 1/(x+1)? What theorem are you using to prove this convergence?

>>10509933
youre just not in on the joke

>>10509683
*Picks nose*

>>10509683
>la crème de la crème university graduates and scholars
Is there a public place for this on the internet? Where is it?

>>10510042
No, but I would try visiting a certain building, where the people of smart do the thing of education.

>>10509633
1-1+1-1+...

1+1+1+1+...
-1-1-1-1-1-...

Total = 0

>>10510442
>rearrangement is valid

Any other frogs here can explain what valeur d'adhérence means in english to these brainlets