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Limit as x approaches 0

  1. Feb 17, 2017 #1
    1. The problem statement, all variables and given/known data
    Prove that the limit is 1 as x approaches 0 for the function f(x) / x.
    2. Relevant equations


    3. The attempt at a solution
    I put the f out in front so I was left with f•Lim as (x → 0) (x/x) so I was left with f•lim(x→0) 1 so I used the limit property and was left with f•1. That was my attempt at proving however I have no idea how to prove it please help.
     
  2. jcsd
  3. Feb 17, 2017 #2

    LCKurtz

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    You don't "pull the f out in front". ##f(x)## is the notation for a function of ##x##. Without knowing the formula defining ##f(x)## the problem can't be worked.
     
  4. Feb 17, 2017 #3
    That's the only information we were given.
     
  5. Feb 17, 2017 #4

    LCKurtz

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    Then you can't work the problem. Are you certain that ##f(x)## wasn't defined earlier?
     
  6. Feb 17, 2017 #5
    Yes I'm certain f(x) was never given.
     
  7. Feb 17, 2017 #6

    LCKurtz

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    Have you studied functions? Do you understand the function notation such as ##f(x) = x^2## or some other formula? If so you should see that your problem is incompletely stated without knowing the formula.
     
  8. Feb 17, 2017 #7
    Yes I have studied functions I'm aware what a function is. That was the question given and I'm just trying to make sense of it.
     
  9. Feb 17, 2017 #8

    LCKurtz

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    Then don't waste any more time on that problem.
     
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