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in Limit, continuity and differentiability by (25 points)
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\( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\cot ^{3} x-\tan x}{\cos \left(x+\frac{\pi}{4}\right)} \) is 

(1) \( 8 \sqrt{2} \) 

(2) 4 

(3) \( 4 \sqrt{2} \) 

(4) 8

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