Answer
$$\lim_{x\rightarrow c}f(x)=L$$
Work Step by Step
So, when it comes to the following limitation of $$\lim_{x\rightarrow c}\left [ f(x)-L \right ]=0$$ it means that for every time Epsilon is greater than 0, which can be written as $\varepsilon > 0$, then there also would exist a time for when Delta is greater than 0, which can be written as $\delta > 0$. This helps notes that the following "if-then" scenario:
$$\begin{matrix}
If &&Then \\
0< \left | x-c \right | < \delta && \left | (f(x)-L)-0 \right |
