:The function f ( x ) = x / x has a removable discontinuity at x = 0 ( under one definition of " removable discontinuity, " at least ).
2.
:The function f ( x ) = x / x has a removable discontinuity at x = 0 ( under one definition of " removable discontinuity, " at least ).
3.
It is important to realize that the term " removable discontinuity " is sometimes used by abuse of terminology for cases in which the limits in both directions exist and are equal, while the function is continuity and discontinuity of a function are concepts defined only for points in the function's domain.
4.
If the two circles are identical ( same center, same radius ), the internal center is their common center, but there is no well-defined external center properly, the function from the parameter space of two circles in the plane to the external center has a non-removable discontinuity on the locus of identical circles.
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