1. The problem asks for the one-sided limit \(\lim_{x\to 2^+} f(x)\), which means the value that \(f(x)\) approaches as \(x\) approaches 2 from the right side (values greater than 2).\n\n2. Observing the graph near \(x=2\) from the right, the function values increase sharply, tending toward positive infinity, indicating a vertical asymptote at \(x=2\).\n\n3. Since the function goes to infinity, it does not approach any finite number from the right side of \(x=2\).\n\n4. Therefore, the one-sided limit \(\lim_{x\to 2^+} f(x)\) does not exist as a finite number, it diverges to \(+\infty\).\n\nFinal answer: \n$$\lim_{x\to 2^+} f(x) \text{ does not exist}$$