*x*= 0, if*f*is defined at that point;*x*→ −∞, if*f*is defined in that direction;*x*→ ∞, if*f*is defined in that direction;*x*→*c*^{−}, if*f*is defined in that direction, whenever*f*is undefined or discontinuous at*c*;*x*→*c*^{+}, if*f*is defined in that direction, whenever*f*is undefined or discontinuous at*c*;*x*=*c*, if*f*is defined at that point, whenever*f*is undefined approaching*c*from either direction (or both);*x*=*c*, whenever*f*(*c*) = 0;*x*=*c*, whenever*f*′ is undefined or discontinuous at*c*, if*f*is defined there;*x*=*c*, whenever*f*′(*c*) = 0;*x*=*c*, whenever*f*′ is undefined or discontinuous at*c*, if*f*is defined there;*x*=*c*, whenever*f*′(*c*) = 0;

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