Is the Converse of the Limit Problem True or False?

[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 !

 

[Gokul43201]

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

What ideas do you have ?

 

[k3n]

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

 

[Gokul43201]

What does |x| mean ?

 

[k3n]

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

 

[HallsofIvy]

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!