Consider now using an explicit N th-order Taylor series method ... | Filo
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The Taylor series is a way of representing a function as an infinite sum of terms based on its derivatives at a single point. It allows us to approximate complicated functions using polynomials, which are easier to work with. Each term in the series involves a derivative of the function evaluated at a chosen point, usually called “a,” and is multiplied by a power of (x - a). The more terms we include, the better the approximation becomes, especially when x is close to a. This method is commonly
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MathxMatrix on Instagram: "At its heart, a Taylor Series is a way to express a complicated function as an infinite sum of simpler polynomial terms. Near the point a , the Taylor Series gives a very accurate estimate of the function. The more terms you add, the better the approximation becomes. This series hugs the sine curve tightly near x = 0 , and it’s whispering the shape of sine just around the origin."
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