Web[Math] Power (Laurent) Series of $\coth(x)$ calculuspower series I need some help to prove that the power series of $\coth x$ is: $$\frac{1}{x} + \frac{x}{3} – \frac{x^3}{45} + O(x^5) \ \ \ \ \ $$ I don't know how to derive this, should I divide the expansion of $\cosh(x)$ by the expansion of $\sinh(x)$? (I've tried but without good results 🙁 ) WebIn contrast, MatrixFunction can be used to give the hyperbolic cotangent of a square matrix (i.e. the power series for the hyperbolic cotangent function with ordinary powers …
Approximate $\\coth(x)$ around $x = 0$ - Mathematics …
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Hyperbolic cotangent: Series representations (subsection …
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