Subjects calculus

One Sided Limit

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1. We are asked to find the one-sided limit $$\lim_{x\to 2^+} f(x)$$ from the graph of the function $$f$$. 2. The graph indicates a vertical asymptote at $$x=2$$, shown by the dashed red line. 3. For $$x \to 2^+$$ (approaching 2 from the right), the function values rise steeply toward positive infinity. 4. This means as $$x$$ approaches $$2$$ from the right, $$f(x) \to +\infty$$, so the limit does not settle at a finite value. 5. Therefore, the one-sided limit $$\lim_{x\to 2^+} f(x)$$ does not exist in the finite sense. Final answer: **D Does not exist**