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For questions about the theory and process of finding the roots of a function (values where the function returns zero).

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How to solve the transcendental equation: $\tan(x) = \frac{2x}{x^2-1}$

Here is a simple (Matlab) Newton method as a first attempt to help get started. It finds 1087 roots with error below $10^{-11}$. f = @(x) ((2*x)./(x.^2-1)) - tan(x); fp = @(x)-tan(x).^2+2.0./(x.^2- …
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