_ x 0 x^ 4 -x^ 4 x^ 4 +x^ 20 x^ 4 (e^ 2 x^ 4 -1-2 x^ 4 ) is equal to

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

\[\lim _{x \rightarrow 0} \frac{\sin x^{4}-x^{4} \cos x^{4}+x^{20}}{x^{4}\left(e^{2 x^{4}}-1-2 x^{4}\right)}\] is equal to
  1. 0
  2. –1/6
  3. 1/6
  4. does not exist

Answer

(C) 1/6

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