Mathematics

Mathematics

Problem

For xx near −2-2, the functions rr and ss take the values shown. x | -2.2 | -2.1 | -2.05 | -1.95 | -1.9 | -1.8 r(x) | 1.84 | 1.92 | 1.96 | 2.04 | 2.08 | 2.16 s(x) | -3.12 | -3.06 | -3.03 | -2.97 | -2.94 | -2.88 Estimate lim⁡x→−2r(x) s(x)r(x)2+s(x)2.\lim_{x\to -2}\frac{r(x)\,s(x)}{r(x)^2+s(x)^2}.

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