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Help for understanging Limit

  1. Sep 28, 2007 #1
    please guys! some one plz help me understand the epsilon-delta definition of limit and the delta nbd concept.
  2. jcsd
  3. Sep 28, 2007 #2


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    What have you been taught so far?
  4. Oct 2, 2007 #3
    It's actually very simple. What does it intuitively mean when we say that [tex]\lim_{x\to p}f(x)=y[/tex]? It means that if you let x approach p then f(x) will approach y. How to see if that is really the case? Well, if the function f is really going to get closer and closer to y if you let x appoach p closer and closer, then it should be the case that if you specify some small interval [tex]\delta[/tex] containing y you can find an interval around p of length [tex]\epsilon[/tex] such that the function f will map that interval within that deviation, no matter how small you make [tex]\delta[/tex].
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