1. The problem asks for the one-sided limit of the function $f(x)$ as $x$ approaches 2 from the right, i.e., $\lim_{x\to 2^+} f(x)$. 2. According to the graph description, there is a vertical asymptote at $x=2$, and near this line, the function approaches positive infinity from both sides. 3. The graph shows an open circle at $x=2$, $y=-4$, indicating a removable discontinuity at that point, but the limit from the right considers values $x>2$. 4. From the right side of $x=2$, the function exhibits oscillating behavior and does not approach a single finite number. 5. Because $f(x)$ does not approach any specific value but continues to oscillate after $x=2$, the limit $\lim_{x\to 2^+} f(x)$ does not exist. **Final answer:** The one-sided limit from the right at $x=2$ does not exist.