plz help

[matikkamatskutFanboy69]

when does a function have a point where one sided limit does not exist but the function is defined with all values of x? sorry for basd enghlish . please help )))

 

[Deleted member 4993]

when does a function have a point where one sided limit does not exist but the function is defined with all values of x? sorry for basd enghlish . please help )))

Can you please give us an example of a function, with a point where one sided limit does not exist?

 

[Steven G]

Consider a piecewise function along with the answer to Khan's question

 

[pka]

when does a function have a point where one sided limit does not exist but the function is defined with all values of x?

\(\displaystyle f(x)=\begin{cases}\sin(x^{-1}) &: x\not= 0 \\ 2 &: x=0\end{cases}\)
Now that function is defined everywhere. BUT \(\displaystyle \mathop {\lim }\limits_{x \to 0} f(x)\text{ does not exist.}\)