_ 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 Exams — Limit, 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
- 0
- –1/6
- 1/6
- does not exist
Answer
(C) 1/6
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