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\begin{aligned} &\mathrm{x}_{1}=\mathrm{x}_{0}-\frac{\mathrm{f}\left(\mathrm{x}_{0}\right)}{\mathrm{f}^{\prime}\left(\mathrm{x}_{0}\right)}=3-\frac{\mathrm{f}(3)}{\mathrm{f}^{\prime}(3)}=3-\frac{2}{10}=\mathbf{2. 8} \\ &\mathrm{x}_{2}=\mathrm{x}_{1}-\frac{\mathrm{f}\left(\mathrm{x}_{1}\right)}{\mathrm{f}^{\prime}\left(\mathrm{x}_{1}\right)}=2.8-\frac{\mathrm{f}(2.8)}{\mathrm{f}^{\prime}(2.8)}=2.8-\frac{0.232}{7.72} \approx 2.769948187 \\ &\mathrm{x}_{3}=\mathrm{x}_{2}-\frac{\mathrm{f}\left(\mathrm{x}_{2}\right)}{\mathrm{f}^{\prime}\left(\mathrm{x}_{2}\right)} \approx 2.769292663 \end{aligned}