If f (x) = | array ccc x^ n & n! & 2 x & n 2 & 4 x & n 2 & 8 array | then the value of d…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f (x) = \[\left|\begin{array}{ccc}
x^{n} & n! & 2 \\
\cos x & \cos \frac{n \pi}{2} & 4 \\
\sin x & \sin \frac{n \pi}{2} & 8
\end{array}\right|\] then the value of \(\frac{\mathrm{d}^{\mathrm{n}}}{\mathrm{dx}^{\mathrm{n}}}[f(\mathrm{x})]_{\mathrm{x}=0}\) is
- 0
- 1
- –1
- None of these
Answer
(A) 0
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