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If $\mathrm{f}(\mathrm{x})=(1+\mathrm{x})^{2 / \mathrm{x}}$ for $\mathrm{x} \neq 0$ and $\mathrm{f}(0)=\mathrm{e}^{2}$ is
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continuous at $x=0$
$\lim _{x \rightarrow 0} f(x)=\lim _{x \rightarrow 0}\left[(1+x)^{1 / x}\right]^{2}=e^{2}=f(0)$
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