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Evaluate $\mathop {\lim }\limits_{n \to \infty } {\left( {1 - \frac{1}{n}} \right)^{2n}}$
Difficulty: Easy
A: 
$e$
B: 
$e^{2}$
C: 
$e^{-1}$
D: 
$e^{-2}$
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