Let $f(x)=e^{-x}-x$,so $f^{\prime}(x)=-e^{-x}-1$. Then $$x_1=2-\frac{e^{-2}-2}{-e^{-2}-1}=0.3576088.$$ Rounded to two decimals, the first iterate is **0.36**;it is not the fully converged root.
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