The integer n , for which _ x 0 ( x-1) ( x-e^ x ) x^ n is a finite non-zero number is
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
The integer n, for which \(\lim _{x \rightarrow 0} \frac{(\cos x-1)\left(\cos x-e^{x}\right)}{x^{n}}\) is a finite non-zero number is
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Answer
(C) 3
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