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Homework Help: F:[a,infinity)->R is continuous with f(x) > 0 for all x in [a,infinity),

  1. Dec 1, 2008 #1
    f:[a,infinity)-->R is continuous with f(x) > 0 for all x in [a,infinity),...

    Suppose "a" belongs to R, and f:[a,infinity)-->R is continuous with f(x) > 0 for all x in [a,infinity) and limf(x)=1 (as x goes to infinity). Prove that there exists r>0 such that f(x)>r for all x in [a,infinity).
     
  2. jcsd
  3. Dec 2, 2008 #2

    morphism

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    Re: f:[a,infinity)-->R is continuous with f(x) > 0 for all x in [a,infinity),...

    And what have you tried?
     
  4. Dec 2, 2008 #3
    Re: f:[a,infinity)-->R is continuous with f(x) > 0 for all x in [a,infinity),...

    I found it!
     
    Last edited: Dec 2, 2008
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