Answer
False
Work Step by Step
Observe Figure Ex-9 at $x=2$. The right-hand-side limit is $-\infty$, since the function decreases asymptotically from that side towards $x=2$. However, we can see a filled-in dot on the $x=2$ line, so $f(2)$ has a value and is not undefined.
This is possible because functions that are discontinuous do not always have any similarity between the limit values and the actual values at a point. The value of $f(a)$ can be anything, no matter the value of the right-hand-limit, if the function is discontinuous.
