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$\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+....+\frac{1}{n!}<3-\frac{2}{(n+1)!}$\ $\forall\in\mathbb{N}$ / {1} proof by induction

$\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+....+\frac{1}{n!}<3-\frac{2}{(n+1)!}$\ $\forall\in\mathbb{N}$ / {1} proof by induction

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