The Internet Has Massively Broadened Career Possibilities

What we want to do in this video is figure out what the limit as ( x ) approaches ( z ) of ( \frac{1 - \cos(x)}{x} ) is equal to. We’re going to assume we know one thing ahead of time: we’re going to assume we know that the limit as ( x ) approaches ( 0 )…

What is light? What is light? Light is… light is… what is light? That’s a good question, isn’t it? What is light? Isn’t it an element? Light is brightness, I guess. We have auras? We all have auras. Which are light? Yes, they are. It lights up the roo…

Hi everyone, Sal Khan here from Khan Academy. Welcome to the Homeroom livestream! We have a very exciting show, I guess you could call this a show today, where we’re gonna announce the 2020 Breakthrough Junior Challenge winner. But before we jump into th…

In the last few videos, we talked about the Greco-Persian Wars, or we could say the Persian invasion of Greece. In the first wave, the first Persian invasion, the Athenians were able to stop them at Marathon. Then, in the second Persian invasion, led by X…

So we have the function ( G(x) = x^2 \cdot \ln(x) ), and what I want to do in this video is see if we can figure out the absolute extrema for ( G(x) ). Are there ( x ) values where ( G ) takes on an absolute maximum value or an absolute minimum value? Som…

Some of you were told you were special growing up, but somehow reality didn’t catch up with that promise, did it? Somehow something happened where all the expectations you had from life went out the door, and by the end of this video you’ll have a clear …