_ x / 4 ^ 3 x- x (x+ 4 ) is:

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\[\lim _{x \rightarrow \pi / 4} \frac{\cot ^{3} x-\tan x}{\cos \left(x+\frac{\pi}{4}\right)}\] is:
  1. \(e \sqrt{2}\)
  2. 4
  3. \(4 \sqrt{2}\)
  4. 8

Answer

(D) 8

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