ex — ex If Lt g(x) exists, then g(x) = x →0 er te &

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( begin{aligned} theta & lim _{x rightarrow 0} frac{e^{1 / x}-e^{-1 / x}}{e^{1 / x}+e^{-1 / x}} lim _{x rightarrow 0} & frac{e^{ln left(1-e^{-2 / x}right)}}{operatorname{eln}left(1+e^{-2 / x}right)} [x rightarrow 0] &=1 text { Arp } end{aligned} )

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