Question

$\[ f(n) = \left\{
\begin{array}{l l}
x+1 & \quad \text{$x > 0$}\\
-x & \quad \text{$x \leq 0$}
\end{array} \right.\] $
Question: to calculate right-hand limit at f(0).
can the right hand-limit be calculated by main formula in lecture 1? I can not get the correct right-hand limit using main formula in lecture 1. So how can I calculate the right-hand limit?

Answer 1

the right-hand limit means
what is the limit if you start with x to the right of the point in question, and make x smaller.
\[\lim_{x \rightarrow 0+} x+1 = 1\]