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The larger the degree of a Taylor polynomial, the better it approximates the function. See that in action with sin(x) and its Taylor polynomials. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/function-as-a-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/recognizing-function-from-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC 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 About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

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Taylor & Maclaurin polynomials are a very clever way of approximating any function with a polynomial. In this video we come up with the general formula for the

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Taylor polynomials are incredibly powerful for approximations, and Taylor series can give new ways to express functions. Early access to future series: https://

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► My Sequences & Series course: https://www.kristakingmath.com/sequences-and-series-course Learn how to find the radius of convergence of a Taylor series. Fi

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Dan Fleisch briefly explains some vector and tensor concepts from A Student's Guide to Vectors and Tensors

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Approximating e_ with a Taylor polynomial centered at x=3. In the video we find the first few terms of such a polynomial and graph it to see how close it gets t

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Taylor series is a great way to approximate functions with polynomials. The more you know about the derivatives of the function at x=a, the better an approximat

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The Taylor Series allows us to estimate the change in an asset (portfolio) value without conducting a full re-pricing. The example here is to estimate the chang

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For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics

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En este vídeo veremos la aproximación a funciones mediante el polinomio de Taylor. Primero veremos en qué consiste este polinomio, luego se expondrán dos ej

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Intuitions for divergence and curl, and where they come up in physics. Thoughts on going sponsor-free: https://www.patreon.com/posts/19586800 Special thanks to

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Power Series/Euler's Great Formula Instructor: Gilbert Strang http://ocw.mit.edu/highlights-of-calculus A special power series is e^x = 1 + x + x^2 / 2! + x^3

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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Thanks to all of you who supp

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Using a polynomial to approximate a function at f(0). More free lessons at: http://www.khanacademy.org/video?v=sy132cgqaiU

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Approximating a function with a Taylor Polynomial More free lessons at: http://www.khanacademy.org/video?v=8SsC5st4LnI

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Developing the 1st and 2nd degree Taylor Polynomials of a function of two variables and visualizing them on CalcPlot3D.

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A brief look into what a Taylor series is and what each term in the expansion means

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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

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This calculus 2 video tutorial explains how to find the Taylor series and the Maclaurin series of a function using a simple formula. It explains how to derive

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What you should know: - Differentiation - Faktorial: n! = 1*2*3*...*n for n beeing a natural number

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