# Limit problem - emergency

1. Oct 6, 2004

### k3n

limit problem - emergency !!

Show that the converse is false

LIM x-->c |f(x)|=|L|
LIM x-->c f(x) = M != L

email me !!

2. Oct 6, 2004

### Gokul43201

Staff Emeritus
We don't do believe in doing others' homework for them. We will help, though.

What ideas do you have ?

3. Oct 6, 2004

### k3n

uhm....right now i have no idea at all

4. Oct 6, 2004

### Gokul43201

Staff Emeritus
What does |x| mean ?

5. Oct 7, 2004

### k3n

|f(x)| = the absolute value of f(x)

6. Oct 7, 2004

### HallsofIvy

Staff Emeritus
You started by saying "show that the converse is false" but did say the converse of WHAT. I think you are trying to show that the converse of
"if lim f(x)= L then lim |f(x)|= |L|" is false.

The converse would be "if lim |f(x)|= |L|, then lim f(x)= L"

You can show that a general statement is false by showing one example in which it is false.

Gokul43201's question was not because he didn't know what | | meant. It was a hint that the difference between |L| and L is crucial!