FunctionSingularities

FunctionSingularities[f,x] finds the singularities of f(x) for x∈Reals. 

FunctionSingularities[f,x,dom] finds the singularities of f(x) for x∈dom.

FunctionSingularities[{f1,f2,…},{x1,x2,…},dom] finds the singularities of f1(x1,x2,…),f2(x1,x2,…),… for x1,x2,…∈dom.

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