Given $\underset{x}{lim}>0^{-}f(x)=L1,$ and $\underset{x}{lim}>0^{+}f(x)=L2,$ and $L1L2,$ what can we say about the limit at $x=0?$

Statement$/$reasoning:

We can say this $\underset{?}{lim}f(x)$ does not exist $x0.$

$2.$ Derive the following, showing all steps to the solution. Use limit notation

Given: $\underset{x}{lim}>a[f(x)+g(x)],$ and $\underset{x}{lim}>af(x)=L$ and $\underset{x}{lim}>ag(x)=M,$

Show that the Limit $=L+M$

Reasoning:

$3.$ Use the graph to find the limit

Find $\underset{1}{lim}{?}_{-}$ and $\underset{1-1}{lim}{?}^{+}$