@blackboardguys: in this video i go over the proof that e is irrational, quite a fascinating intro to proofs. #math #fyp #relatable #proof #proofbasedmath #e #analysis

mena :

can you explain 1+1=2 please

I'm banned :

Do u tutor. 😅

Free :

You’re a pretty good teacher.

gus.wl :

How would this situation change if n on the left side of the equation is less than q?

john wentzien :

haidar.kobeissi 🇱🇧🇫🇷 :

you can't really do that because e is not equal to the sum you wrote but to its limit One common way to prove e is irrational is to look at the difference between the Taylor series and the partial sum and then the contradiction is about finding and integer between 0 and 1

colnn :

Doesn’t 1/(n+1)! multiplied by n! Simplify to 1/(n+1) ? The proof would still work but I’m wondering if I’ve made some mistake.

amiyah😽😽 :

babe please post the kids miss you..

mfuw001tex :

don’t look at me like that pls

Karim :

nice cut bro

giordan :

so worth the drive!! but isn’t n!/(n+1)!=1/n+1 and not 1/n? doesn’t change the consensus of proof tho

meep :

do you have any videos on log functions and the rules?

privet_kak_dela111 :

Nice proof!

Filipe Dias :

This proof is not complete

drevoksi :

But the expression for e¹ is an infinite series. I don't think this proof considers how (1/(n+1)! + 1/(n+2)! + ...)n! may actually evaluate to an integer; just that the first of its terms, n!/(n+1)!, isn't.

giulia ꨄ :

we are sooo back

00stockholm :

Congrats! Keep the content going!

🇺🇦🇱🇹 :

n! / (n+1)! = 1/ n+1

Bluey :

Hi! can u do another video about polynomials and polynomial? You teach so well and it helps me understand unlike my teacher who only always gives us test without teaching

Sirius's chocolate :

do you have YouTube channel?

고양이 🐈‍⬛ :

I didn't say this before, but I started writing the book back in November and there’s the main character Ethan, who is genius in mathematics 😭😭, but he’s kinda misanthropic guy..

//// :

I didn't even know that e had an expression . I juste though it was 1.6_____) at the power of x. Excellent teaching by the way . Even though I lack a lot of informations , I did understand the method and the way you did the absurd reflexion !

ostra :

also it's interesting that the word “rational” comes from the Latin ratio, which originally meant proportion or ratio—not reason, as we understand it today. I read about it today in Symmetry by Hermann Weyl