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1:00
Easy Taylor Series Approximation Example: Learn How to Approximate Functions
904 views
Jul 16, 2023
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Math Animations on Instagram: "➡️ Taylor’s theorem is a result from the mathematical branch of analysis. It is named after the mathematician Brook Taylor. The theorem is used to approximate functions in the neighborhood of a point using polynomials, the so-called Taylor polynomials. This is also called the Taylor approximation. The Taylor formula has become a tool in many engineering and natural sciences due to its relatively simple applicability and usefulness. A complicated analytical expressi
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0:14
mathswithmuza on Instagram: "The Taylor series is a way to approximate a function as an infinite sum of polynomial terms based on its derivatives at a single point. It is commonly expanded around x = 0, which is called the Maclaurin series. Given a function f(x), its Taylor series expansion around x = a is written as: f(x) = f(a) + f’(a)(x - a) + f’’(a)/2! * (x - a)^2 + f’’’(a)/3! * (x - a)^3 + … Each term involves a derivative of the function evaluated at x = a, divided by the corresponding fac
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Instagram
Math Animations on Instagram: "➡️ Taylor’s theorem is a result from the mathematical branch of analysis. It is named after the mathematician Brook Taylor. The theorem is used to approximate functions in the neighborhood of a point using polynomials, the so-called Taylor polynomials. This is also called the Taylor approximation. The Taylor formula has become a tool in many engineering and natural sciences due to its relatively simple applicability and usefulness. A complicated analytical expressi
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