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> I've never heard of any mathematical argument that justifies division by zero yielding 0 0/x = 0 for all x except zero; defining 0/0=0 removes that exception

> I've never heard of any mathematical argument that justifies division by zero yielding 0 0/x = 0 for all x except zero; defining 0/0=0 removes that exception.

AlbinNP 5y ago
x/x = 1 for all x except 0; defining 0/0 = 1 removes that exception.
- hwayne 5y ago
  Split the difference, 0/0 = 0.5
  - ben_w 5y ago
    It gets worse: differentiation would be 0/0 if you went straight to the limit rather than just approaching it, so 0/0 can be any differentiable function, not just a value. (Caveat: I’m probably being slightly imprecise with my language here)