\hspace{-16}$Show that the equation\\\\ $\mathbf{e^{1-\tan^{-1}x}+\tan^{-1}(e^x-1)=2}$\\\\ has no solution for $x\in\mathbb{R}$
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\hspace{-16}$Show that the equation\\\\ $\mathbf{e^{1-\tan^{-1}x}+\tan^{-1}(e^x-1)=2}$\\\\ has no solution for $x\in\mathbb{R}$