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Limit of big-O terms

  1. Mar 4, 2014 #1
    I'm a bit confused with limits of big-O terms. What should be the answer for following:-
    1) limit of O(1/x) as x->0. O(1) maybe but I'm not sure.
    2) limit of O(x) as x-> 0. O(1) or 0?
  2. jcsd
  3. Mar 9, 2014 #2
    The capital O symbol means that you quantity "behaves" like some other quantity in a certain limit. So, [itex]O(1/x)[/itex] behaves as [itex]1/x[/itex] and therefore goes to infinity as x approaches 0. For the same reason [itex]O(x)\to 0[/itex] as x approaches 0.
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