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Delta Epsilon Proofs

  1. Feb 3, 2010 #1
    Hi there, i'm having trouble understanding how to prove things using the [tex]\delta[/tex] [tex]\epsilon[/tex] definition. I have read a few other threads and sites, but I can't seem to put it together. For example, I came across this problem, if given limx-->af(x) = L, how would I prove (using delta-epsilon and without assuming that the limit of a sum of two functions is the sum of their individual limits) that the limx-->a[x+f(x)]=a+L ?

    Thanks for the help!
     
  2. jcsd
  3. Feb 3, 2010 #2
    (using delta-epsilon and without assuming that the limit of a sum of two functions is the sum of their individual limits)

    You can always use the same proof sketch of limit arithmetics, only specifically applied to your case ;)
     
  4. Feb 3, 2010 #3

    radou

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    Hint: use ε/2.
     
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