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Question

Mathematics Question on Properties of Determinants

Let f(x)=cosxx1 2sinxx2x sinxxxf(x)=\begin{vmatrix}cosx &x& 1\\\ 2sinx &x& 2x \\\ sinx& x& x\end{vmatrix}.Then limx0f(x)x2\lim\limits_{x \to 0}\frac{f(x)}{x^2}=

A

-1

B

0

C

3

D

2

Answer

0

Explanation

Solution

The correct answer is Option (B) : 0