Let $$\(\mathrm{f}(x)=\frac{\mathrm{e}^{2 x}+1}{\mathrm{e}^{2 x}-1}\)$$, for $$\(x>0\)$$ The equation $$\(x=\mathrm{f}(x)\)$$ has one root, denoted by $$\(a\)$$. Verify by calculation that $$\(a\)$$ lies between 1 and $$\(1.5\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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