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\item[(1)]実数$x$が$-1<x<1$，$x\neq0$をみたすとき，次の不等式を示せ．
\[ {(1-x)}^{1-\frac{1}{x}}<{(1+x)}^\frac{1}{x} \]
\item[(2)]次の不等式を示せ．
\[ {0.9999}^{101}<0.99<{0.9999}^{100} \]
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