This is a very famous limit

This is a very famous limit
#calculus #shorts

[reidpattis]

He’s trying so hard to not use L’Hospital’s rule😄

[tibetsonmez]

"And if you put zero in here..." *stands in shame as he realizes he has committed an atrocity*

[lunaas]

Guys, I think he finally reached his lim

[matheusferesturcheti]

For those who don't know yet, this is the Fundamental Trigonometric Limit, which evaluates to 1

[Predakingever]

This what it is really like teaching math because you know what to do next, but it would involve future topics.

[Wutthehel]

I love how he says nervously at the end - "and, and...and have a look."

[Fintogy]

As an engineer, sin(1/x) = 1/x
so x*1/x =1
lim 1 = 1

[leonhardeuler]

This is what happens when you upload multiple videos everyday. He's finally snapped.

[kingbeauregard]

It's like when you bump into a celebrity on the street but you're so star-struck you can't remember what they appeared in.

[RamsLiff]

For those who want a trigonometic solution:
1 < x/sinx < 1/cosx
1 > sinx/x > cosx
use limits as x -> 0, and
1 > sinx/x > 1
so because of the squeeze theorem, sinx/x as x->0 is 1 too

[shahenazmalek]

Pay attention to the sum being solved - ❌
pay attention to his had when he writes with two markers at a time - ✔️

[nicolastorres]

Wait. He’s still trying to approach 0 without putting 0. 😂😂😂

[symiangearhead]

After trying so hard in limits to not get a 0/0 form and ending up getting a 0/0 form in the end,
"YOU HAVE BECOME THE VERY THING YOU SWORE TO DESTROY"

[gustavoespinoza]

My favorite trick for limits is turning them into differentiation

like with this problem as x approached 0
sin(x)/x = (sin(x) - sin(0))/(x-0) = d/dx sin(x) evaluated at x = 0 which is just cos(0) = 1

[vloggerdeb]

The way he switches pen is so amazing 🥰

[laughingtime]

Here answer would be 1
Explanation when theta is very small, perpendicular and hypotenuse are equal and sin theta could be written as theta, so theta divided by theta is 1.

[theimpaler]

I’m more impressed by his dual use of the markers!

[micah]

Me using Desmos and scrolling really far to the right: **I am 4 parallel universes ahead of you**

[eternal]

Can’t you just use substitution here?

Lim x->inf xsin(1/x)
Infsin(1/inf)

As x -> inf of sin(1/x), the value of the function becomes smaller and smaller

Therefore, we have infsin(1/inf) = inf(1/inf) = 1

Does this work or no?

[marsahere]

I’m really proud of myself right now, that’s how I do math! Finally a common factor with a genius