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Mathematisa | Math Animations on Instagram: "✨The Taylor series (or Taylor expansion) of a function is an infinite sum that represents a function like e^x or cos(x) in terms of its derivatives at a single point. When the expansion is at 0, it’s called a Maclaurin series. The sum of the first n+1 terms forms the nth Taylor polynomial, which is a polynomial approximation of the function. As n increases, the approximation becomes more accurate. Taylor's theorem provides estimates of the error in th
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