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UPSC NDA I 2023 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow :

Let

f(x)=\begin{vmatrix} \cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1 \end{vmatrix}

[NDA I 2023]

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Question : 77 of 120

Marks: +1, -0

What is

\lim\limits_{x \to 0} \; \frac{f(x)}{x}

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0
1
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