Limit as x approaches 0

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  • #1
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Homework Statement


Prove that the limit is 1 as x approaches 0 for the function f(x) / x.

Homework Equations




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.
 

Answers and Replies

  • #2
LCKurtz
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Homework Statement


Prove that the limit is 1 as x approaches 0 for the function f(x) / x.

Homework Equations




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.
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.
 
  • #3
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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.
That's the only information we were given.
 
  • #4
LCKurtz
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Then you can't work the problem. Are you certain that ##f(x)## wasn't defined earlier?
 
  • #5
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Then you can't work the problem. Are you certain that ##f(x)## wasn't defined earlier?
Yes I'm certain f(x) was never given.
 
  • #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.
 
  • #7
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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.
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.
 
  • #8
LCKurtz
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Then don't waste any more time on that problem.
 

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