Question

A little question about a continuity.
asking for an example of...

Answer 1

What is the case, where
\[\Large \lim_{x \rightarrow c^-}~f(x)=\lim_{x \rightarrow c^+}~f(x)\]But, \[\lim_{x \rightarrow c}~f(x)~\ne~f(c)\]OR/AND\[f(c)~~~\rm ~~~DNE\]

Answer 2

Define
f(x) =x if x is not zero and f(0)=1

Answer 3

so we have to give it a condition, but just an equation/function alone that is like it, doesn't exist?

Answer 4

yes.... I think I gottcha:)