/sci/ - Science & Math

does that limit equal one?

>>9856068
Lord Farquiplier strikes again

>>9856083
e

the limit equals e - eulers number

>>9856068
e^Ln(1+1/n)^n=e^nln(1+1/n)
lim n->/infty e^nln(1+1/n)=e^/infty*ln(1)=e^\infty*0=e^0=1

>>9856098
Edit:I am a brainlet

>>9856068
limit (1 + 1/n)^n as n -> inf
= limit (1 + h)^1/h as h -> 0
= e^[limit ln((1 + h)^1/h) as h -> 0]
= e^[limit (ln(1 + h))/h as h -> 0]
= e^[limit (1/(1 + h)) as h -> 0] (by l'hopital)
= e^1
= e

>>9856120
only in the context of a square random matrix

tired of these shit undergrads with shit memes

>>9856092
>the limit equals e - eulers number
That doesn't really explain the meme, just the limit on the meme.
The meme came from a few different steps.
First, there were people matching up some youtube celebrity faces with Shrek characters.
The youtube celebrity in this meme is 'Markiplier' and the Shrek character he's matched with is Lord Farquaad.
Next there's a video of this youtube celebrity shouting:
>E! E! E! Press that friggin' e button!
While playing some Resident Evil looking game:
https://www.reddit.com/r/PewdiepieSubmissions/comments/8nnwqd/lord_farquaadmarkiplier_e_explained/
Finally, Mark Zuckerberg's body was added in to make it more confusing, the grainy filters are a reproduction of the style used with black people facebook 'real nigga hours' type meme pictures, and the use of the letter E referencing that video was something people were looking for to begin with because of an attempt to make a meme alphabet (e.g. press F to pay respects from Call of Duty was the letter F in the meme alphabet and that guy from some movie called 'Paul Blart: Mall Cop' shouting AAA was the letter A in it).

>>9856143

>>9856147
The third one is more general.

I was recently brought to my attention that if [math] A [/math] is some operator such that the resolvent [math] \lambda - A [/math] is invertible, then [math] \left( \dfrac{1}{ \lambda - A/n } \right)^n [/math] for n to infinity is a good way to define [math] e^A [/math] (think [math] 1/e^{-A} [/math]) even in cases when computing powers [math] A^k [/math] makes troubles. The theory has related definitions of the exponential avoiding such powers by line integrals using the Cauchy integral formula.

resolvent exist*

>>9856068
This type of meme is how I remember identities I don't use daily

Pic related is how I remember the order of Sin and Cos in the definition of Tan

>>9856068
E

>>9856068
stupid reddit meme

exp(1)

>>9856198
My HS math teacher had this hung up in his room and removed it after the allegations

>>9856114
pretty much

>>9856503
>stupid reddit meme
>Posts Reddit meme

>>9856551

>>9856068
prob not you're just unaware

>>9856144
Wow

>>9856084
What the fuck is lord farquiplier
It's also supposed to be an E but I assume if anyone know what this was they'd get that

>>9856114
So it's like Monte Carlo trying random things and getting out of holes of efficiency with randomness?

>>9856163
>t. undergrad

>>9856163
Yes, it works on all Hilbert spaces, not just finite dimensional ones.

>>9857398
>t. highschooler

>>9856068

>another Markiplier meme that no one can understand

>>9856068
Lrn2meme fgt pls

I dont know how it gets to it, but its E.

>>9856144
>That doesn't really explain the meme, just the limit on the meme.
The meme is E or e. That limit literally equals e, you fag.

Do you really believe memes are supposed to explain themselves?

>>9856124
I miss verticals

>>9858427
Do a better job reading next time.
Like I mentioned the first time around, the limit part is obvious, it's everything else about the meme that needed explanation.