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Ways to express continuity

  1. Oct 10, 2011 #1
    Hey guys,

    Continuity is generally expressed as lim x->a f(x)=f(a).
    But is it also correct to express it as: lim h->0 f(x+h) - f(x) = 0?
    Because that would imply that all numbers around f(x) would have to be very close to f(x), and that is basically what continuity is, no?
  2. jcsd
  3. Oct 10, 2011 #2


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    Yes, this is fine (assuming f(x) exists)
  4. Oct 10, 2011 #3
    Ok thank you, it really helps me out on a problem Im working on.
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