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Homework Help: Given Epsilon > 0, come up with a delta? Limit problem.

  1. Feb 2, 2016 #1
    • Member warned about not using the homework template
    Lim as x approaches 4 of 1/x = 1/4

    Given epsilon > 0, come up with a delta, d?

    Limits have been introduced. So far my instructor has had us make tables to see what value x was approaching. Although I don't understand exactly how limits are EVALUATED (different from looking at a chart & saying "yeah, it looks like it's approaching 4 or whatever", it's pretty clear & makes intuitive sense.

    Anyways, I've never seen a problem like this before.

    Can someone please walk me through this. I have no idea where to start. The limit has already been solved...

    epsilon is any small number, right?

    And delta is simply a difference?
  2. jcsd
  3. Feb 2, 2016 #2


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    You appear to be in an early stage of a mathematical analysis course: ##\forall \epsilon > 0 \ \ \ \exists \delta ... \ \ ## such that ... etc.

    So it comes down to correct wording and putting the explicit definition to work explicitly.
    For assistance with that, a literal rendering of the problem statement and of the relevant definition is useful (to say the least).

    For that purpose we have a homework template, which might help you get started. I don't know if you've seen it come by ? (it's in bold face, so I suspect a yes here).
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