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Taylor Series of Tanh(x) Visualized! #HyperbolicFunctions #MaclaurinSeries #Algybra
Ever wondered how a polynomial can approximate the complex curve of the Hyperbolic Tangent function, f(x) = tanh(x)? This Manim animation shows the Maclaurin Series approximation in action!Because tanh(x) is an odd function, its Maclaurin series (Taylor series centered at a = 0) contains only odd-powered terms, starting with $x - (1/3)x^3 + (2/ ...
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