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Find the limit.

$$\lim _{ x\to \frac { \pi }{ 4 } } \cfrac { \sin { x } -\cos { x } }{ 1-\tan { x } } $$

A

$0$

B

$ \cfrac{\sqrt2}{2} $

C

$ -\cfrac{\sqrt2}{2} $

D

Does not exist.

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