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k3n
Oct6-04, 10:26 PM
Show that the converse is false

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

email me !! (kennguyen1985@yahoo.com)
Gokul43201
Oct6-04, 10:41 PM
We don't do believe in doing others' homework for them. We will help, though.

What ideas do you have ?
k3n
Oct6-04, 10:55 PM
uhm....right now i have no idea at all
Gokul43201
Oct6-04, 11:05 PM
What does |x| mean ?
k3n
Oct7-04, 12:21 AM
|f(x)| = the absolute value of f(x)
HallsofIvy
Oct7-04, 07:15 AM
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!