/sci/ - Science & Math

>>9296014
[math]\frac{\sin(0)}{0} = \frac{0}{0} = 1[/math]

>>9296121
sin(0) / 0 isn't 1 you asshole freshman

>>9296125
au contraire, my sophomore acquaintance

>>9296127
>hurr
pic related, sin(x)/x^2

1/0 = ±∞

>>9296014
2 * 0/1 = 0
0/1 = 0/2
x/1 = x/2
1 = 2

>>9296188
x/1=x/2
2x=1x
1x=0

>>9296014
This is how division works:
6 / 2 == 6 - 2 untill R = 0
6 - 2 = 4 - 2 = 2 - 2 = 0
1 + 1 + 1 = 3
therefore 6/2 = 3

Now lets try with 0
6/0 = 6 - 0 = 6 - 0 = 6 - 0 = 6 - 0 = 6 - 0 = 6 - 0...
It doesn't go anywhere, it will keep repeating the same fucking formula for all of time because nothing will change. That is why x/0 is undefined. Not because it equals anything, but because it doesn't go anywhere.

This is elementary math, in other words all the tards in this thread who thought otherwise are brainlets.

>>9296230
It goes to positive infinity.

>>9296230
so this... is the power... of CS

>>9296230
Lmao

>>9296161
>∞
>>9296242
>infinity

>>9296264
Okay. It goes to your mom's mass.

>>9296230
n + 0 + 0 = n = n + 0 = n + 0 = n + 0 = n + 0...
It doesn't go anywhere, it will keep repeating the same fucking formula for all of time because nothing will change. That is why n + 0 + 0 is undefined. Not because it equals anything, but because it doesn't go anywhere.

>>9296014
Wheel theory

>>9296127
sin(0) / 0 approaches 1, it doesn't equal 1. Go back to precalc.

>>9296294
positive series aren't the same shit as negative series
go back to discrete maths

>>9296127
Everyone point and laugh at this idiot

It does go to infinity though

>>9296768
n - 0 - 0 = n - 0 = n - 0 = n - 0 = n -0 = n - 0...
It doesn't go anywhere, it will keep repeating the same fucking formula for all of time because nothing will change. That is why n - 0 - 0 is undefined. Not because it equals anything, but because it doesn't go anywhere.

>>9296481
This is bait, right? sinc(x=0) is exactly one. Expand (knowing that the quotient sin(x)/x exists at x=0), sin(x) in a Taylor series, and evaluate the series/x at x=0.

>>9296776
>"infinity"

>>9296801
No, it's an infinitesimal value which approaches [math]1 \in \mathbb{N}[/math].

When you define what a division is, one of the things you say is that the second number can't be 0, that's why division properties have no sense with the 0.

>>9296827
What if we redefine it using complex infinitesimals? Then it actually makes sense and in some (non-standard) models of PA we can even show 0 = 1/0 = 1.

>>9296768
>using reflexivity of equality is a "series"
>discrete maths
You should be in an engineering thread.

ex falso quodlibet

>>9296843
Need not hold in every logic.

WHAT'S THE MISTAKE IN OP'S EQUATION?

I need to know this so I can sleep and I'm too brainlet to find it myself

>>9296826
I am pretty sure it should pass exactly through one. Could you provide further insight into this? I am currently lost where the infinitesimal separation from 1at x=0 would arise from.

>>9296014
>dividing by zero is undefi...

yes. but as free person with own will you can just define it.

x/0=Error

helpfull ?

>>9296792
>>9296294
Did i just get my own copy-pasta?

>>9296937
It follows trivially from [math]\mathbb{N}[/math] with the subspace topology (considered as a subset of the hyperreals) being the (unique up to weak homotopy equivalence) infinitesimal separator object in the [math](\infty,1)[/math]-topos [math]\infty\mathbf{Grpd}[/math]. A special case of this means that if any value of sinc approaches [math][x,1] \in \mathbb{N}[/math] where [math]x[/math] is a suitable infinitesimal, then it cannot pass it. I don't know of an analytic proof of this though.

>>9297039
>Error
haven't heard of this number before.

>>9297102
>subspace topology
>hyperreals
>weak homotopy equivalence
>infinitesimal separator object
>[math] (∞,1)(∞,1) -topos ∞Grpd [/math]
wtf does this even mean?

>>9296215
x/1=x/2
2x=5x+3
x=157

>>9296121
sin(x)/x is really just [math] 1 - \frac{x^2}{3!} + \frac{x^4}{5!} - \frac{x^6}{7!} + \cdots [/math] .
There's no division by 0.

>>9296127
This guy is correct.

>>9296125
>>9296129
This guy is retarded.

>>9297558
The cancelation property you use to reduce $x^p/x=x^{p-1}$ is only valid for $x\neq0$

>>9297558
The cancelation property you use to reduce x^p/x=x^(p-1) is only valid for x not equal to 0

>>9297587
eh... not really
https://en.wikipedia.org/wiki/Removable_singularityhttps://en.wikipedia.org/wiki/Removable_singularity

>>9297603
>https://en.wikipedia.org/wiki/Removable_singularity
>literally
>take f, which is undefined at x0, and create a function g which overlaps everywhere except x0 such that it fits
It's not the same
It's not sinx/x anymore, it's another function which overlaps with sinx/x on its domain and is defined at 0

>>9297773
>it's another function
it's simply autistic to consider them different.

>>9296161

>>9297353
Half of this is undergrad level stuff, the other half is easy to find on google.

>>9297784
>it's simply autistic to consider them different
And yet they are different.

>what is a limit
You fucking retards are going to break calculus, shut the fuck up, I need it

>>9298689
>limit
>>9297558
>⋯

>>9298689
>I need it
>frogposter and an engineer
Die, degenerate.

>>9298720
>math and physics double major
Nice try though
Better insult would've been "Undergrad faggot"

>>9298689
>implying calculus is important

>>9298723
>physics
That's the same if not worse, a true mathematics major wouldn't waste much time on such garbage.

>>9296014
1/0 = 0
0 = infinity

prove me wrong

>>9298743
0 = all numbers

>>9298743
>1/0=0
nigga what

>>9298743
>"infinity"
>>9298747
>"all numbers"

>>9298748
>what
don't worry, brainlets won't comprehend.