5 ms·

division by zero is undefined. c/x as x approaches 0 from the right is infinity.

• derleth 13y ago
  Just for fun, what is 0/0? Mathematicians often assign definitions to things that are undefined in other contexts to make things more self-consistent. The fact there is a good case to be made that c/0 is undefined for all c doesn't mean it must always be so in every possible instance.
  • dantillberg 13y ago
    You could look at it as `limit of x/x as x approaches 0`, which would be 1. Or you could look at it as `limit of -x/x as x approaches 0`, which would be -1. Or you could look at it as `limit of x/0 as x approaches 0`, which would be +/- infinity, depending on which side you approach 0 from. Or you could look at it as `limit of 0/x as x approaches 0`, which would be 0.
    • joesb 13y ago
      I think the third case is `limit of c/x as x approaches 0`. It can only approach 0, c/0 is still undefined.
      • Noughmad 13y ago
        Not exactly, as c also has to approach 0. So you have two limits, and their order matters.