Taylor polynomial remainder (part 1) | Series | AP Calculus BC | Khan Academy

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The more terms we have in a Taylor polynomial approximation of a function, the closer we get to the function. But HOW close? Let's embark on a journey to find a bound for the error of a Taylor polynomial approximation. Created by Sal Khan.

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

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This guy is always here to rescue when I don't understand something. He makes it so easy.

uranium-ho
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It would be nice if you would include an example with

edrickramos
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The first time I saw Taylor Series in Calc II I had no idea what I was doing.
Now that I'm taking D.Es, this is finally starting to make sense and I can say
that having a good understanding of Taylor Series will prove to be extremely useful.

icee
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I loved the colors in this vid :) makes studying a tiny bit better.

ginayang
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I Really Like The Video Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function From Your

imegatrone
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i cant be more thankful bro u saved my day

Riddimental
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Thanks sal for this wonderful video..i really appreciate it..

Amirsyafiq
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We should eat fresh
We should drink fresh
But most importantly we should keep our hand fresh

keshavchaturvedi
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died laughing when he said screen real-estate

jonathanjaycheng
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This is in the realms of numerical analysis.

CLfreak
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Very helpful, get some idea behind those equations, Thanks Khan!!

yifeipeng
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Nobody taught us like this 😭....thanku 👍

anushkaagrahari
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didn't get it at all so confusing this course, change variable as his wish really confusing

nara
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00:04 An "arbitrary" f(x) needs to have n+1 derivatives in the neighborhood of a according to your lesson.

tobiaszb
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Only if there was a example in the video

harshitsinghai
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man i watched the first few minutes and i already understand my whole class hahahah

goddess_ofchaos
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Pi is also wrong. It gives shorter circumference length if compared to the actual circunference in reality. Tiny arcs are confused with straight lines. It’s an ignoring of some length/area that is actually exist.

What if the slice is so tiny till millions parts? They’re supposed to be counted as well. In fact, not.

gwebangetforever
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Pet Norvig and Sebastian Thrun reference Sal's videos on their ai-class website!

geekoist
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LOL 5:20 not going to write subscript "to keep my hand fresh"

maple
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In my understanding n equal not N. to me n+1=N. So what is N+1? to me N+1 does not exist. If it is exist to you please show me how!! If you care.

Iberedmas