# Limit as x approaches 0

## Homework Statement

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

## 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.

LCKurtz
Homework Helper
Gold Member

## Homework Statement

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

## 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.

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.

LCKurtz
Homework Helper
Gold Member
Then you can't work the problem. Are you certain that ##f(x)## wasn't defined earlier?

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.

LCKurtz
Homework Helper
Gold Member
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.

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.

LCKurtz