Answer
No
Work Step by Step
No. By examining values of $f(x)$ for $x$ close to but greater than $5,$ we can determine whether the one-sided limit $\lim _{x \rightarrow 5+} f(x)$ exists. To determine whether $\lim _{x \rightarrow 5} f(x)$ exists, we must examine the value of $f(x)$ on both sides.