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Non-defined status

  1. Mar 3, 2006 #1
    let's assume such equation:


    we usually say that s=1 when both x,y has Zero value

    how to explain that mathematically?!
  2. jcsd
  3. Mar 3, 2006 #2
    no, we can't say x and y are 0, but we must stipulte y/x = 0. If y and x both = zero, then the value s is undefined since y/x is undefined. And if y/x = 0, then y=0, and x is not equal to 0.
  4. Mar 4, 2006 #3


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    Science Advisor

    I can't explain it because I would never say such a thing! If you approach (0,0) along the line y= x, then s will have a limit of 2. If you approach along the line y= -x, then s will have limit of 0. In fact, given any value a, then approaching (0,0) along the line y= (a-1)x, s has limit a.
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