Expert: Paul Klarreich - 3/18/2009

Question
Hi,
I am Ssa.
Is it right to say that if a limit of the function does not exist, it means the function is not continuous?  

Answer
Questioner:   ssa
Country:  Singapore
Category:  Calculus
Private:  No
 
Subject:  continuity
Question:  Hi,
I am Ssa.
Is it right to say that if a limit of the function does not exist, it means the function is not continuous?
.................................
No.

It is right to say:

If THE limit of A function AS x --> c does not exist, it means the function is not continuous AT x = c.

Always be very careful of detail in math.