The discussion revolves around proving that the limit of the function f(x)/x approaches 1 as x approaches 0. Participants are examining the implications of the limit without a specific definition of the function f(x).
The discussion highlights a lack of clarity regarding the function f(x), with multiple participants emphasizing that the problem cannot be resolved without this information. There is a consensus that the original problem is incomplete, leading to uncertainty in how to proceed.
Participants note that the problem was presented without a definition for f(x), which is critical for any meaningful analysis or proof regarding the limit.
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.chem_vo said: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.
That's the only information we were given.LCKurtz said: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.
Yes I'm certain f(x) was never given.LCKurtz said:Then you can't work the problem. Are you certain that ##f(x)## wasn't defined earlier?
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.LCKurtz said: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.