If \[f(x)=\left| \begin{matrix} \cos x & x & 1 \\ 2\sin x & {{x}^{2}} & 2x \\ \tan x & x & 1 \\ \end{matrix} \right|,\] then \[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{f'(x)}{x} \right]\] is

If \[f(x)=\left| \begin{matrix} \cos x & x & 1 \\ 2\sin x

1.	If \[f(x)=\left\| \begin{matrix} \cos x & x & 1 \\ 2\sin x & {{x}^{2}} & 2x \\ \tan x & x & 1 \\ \end{matrix} \right\|,\] then \[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{f'(x)}{x} \right]\] is
A.	\[2\]
B.	\[-2\]
C.	\[1\]
D.	\[-1\]
Answer» C. \[1\]

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If \[f(x)=\left| \begin{matrix} \cos x & x & 1 \\ 2\sin x & {{x}^{2}} & 2x \\ \tan x & x & 1 \\ \end{matrix} \right|,\] then \[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{f'(x)}{x} \right]\] is

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