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Taylor's theorem

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In calculus, Taylor's theorem gives an approximation of a

Taylor's theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Approximation of a function by a polynomial The exponential function y = e x {\textstyle y=e^{x}} (red) and the corresponding Taylor polynomial of degree four (dashed green) around the origin. Part of a series of articles about Calculus ∫ a b f ′ ( t ) d t = f ( b ) − f ( a ) {\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)} Fundamental theorem Limits Continuity Rolle's theorem Mean value theorem Inverse function theorem Differential Definitions Derivative ( generalizations ) Differential infinitesimal of a funct

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