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Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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I was born in 2008
This video was taken when I was 1 year old and still rocks about math 🤘But I have a simple question how we know that as Δx approaches to 0 is just basically zero? Are binomial functions continuous? If not shouldn't we consider the right and the left limits?
Super explanation sir
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I got here through some scribbles in a notebook. What does this apply to?
Awesome video
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x w so good what time is it? Yeah ha ha ha ha ha ha ha ha ha ha ha ha ha ha ha satisfied no😢 B
When I first watched this I was not able to understand almost anything. I spent hours in youtube trying to learn what factorials are, then what the combination formula is, then what the Summution symbol does, then how the Binomial theorem works and now I was able to finally understand this video. I learned so much more than just why (x^n)' = x * n^(n -1) it was a really cool math adventure
Thanks!
Sweet
Your handwriting is very dirty 🤢🤢🤮🤮
When i saw this formula first time, it hurt my head hard cuz i wasnt able to comprehend it why is it so. I didnt want to just memorize it. Thank you Sal!
Awesome!
This is great, but what a about real numbers, not just natural numbers.
How do I use this in real life?
I have came from Khan academy just to like this video 👍🔥
For the fact that I didnt even think about proof for power rule before watching this video😔
but whats for negative integers……….
I proved it myself a few minutes before watching this video. I'm 14. Does it mean I'm unusually smart? Love from Israel!
in school we have a different proof
think of some function of (x)
We know that it's y = f(x)
Now we move a distance of h so new x axis is x+h so our new y is f(x+h)
so we have
Point1 = x , f(x)
Point2 = x+h , f(x+h)
and now we use a slope formula
(f(x+h) – f(x))/(x – x+h)
lim h -> 0
now to prove it, put in some numbers like x^7 + 9x^5
waw that's terrific!
Very good
Thanks very much for the video
Thanks, this will make for some great notes, now that I´m revising to take my math exam 1 year before time, it does hele to have it all explained again, now that I`m not actually taught in it yet. Thanks