Pengertian Limit

(A)   \(\displaystyle \lim_{x \rightarrow 5^-} f(x) \)

\begin{equation*}
\begin{split}
\lim_{x \rightarrow 5^-} \frac {x - 5}{x + 1} & = \lim_{x \rightarrow 5^-} \frac {5^- - 5}{5 + 1} \\\\
\lim_{x \rightarrow 5^-} \frac {x - 5}{x + 1} & = \frac {-0}{6} \\\\
\lim_{x \rightarrow 5^-} \frac {x - 5}{x + 1} & = 0
\end{split}
\end{equation*}

(B)   \(\displaystyle \lim_{x \rightarrow 5^+} f(x) \)

\begin{equation*}
\begin{split}
\lim_{x \rightarrow 5^+} \frac {x - 5}{x + 1} & = \lim_{x \rightarrow 5^+} \frac {5^+ - 5}{5 + 1} \\\\
\lim_{x \rightarrow 5^+} \frac {x - 5}{x + 1} & = \frac {+0}{6} \\\\
\lim_{x \rightarrow 5^+} \frac {x - 5}{x + 1} & = 0
\end{split}
\end{equation*}

(C)   \(\displaystyle \lim_{x \rightarrow 5} f(x) \)

\(\displaystyle \lim_{x \rightarrow 5^-} \frac {x - 5}{x + 1} = \lim_{x \rightarrow 5^+} \frac {x - 5}{x + 1} = 0 \)