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Problems
If
f
(
x
)
=
∣
sin
x
cos
x
tan
x
x
3
x
2
x
2
x
1
x
∣
f(x) = \begin{vmatrix} \sin x & \cos x & \tan x \\ x^3 & x^2 & x \\ 2x & 1 & x \end{vmatrix}
f
(
x
)
=
sin
x
x
3
2
x
cos
x
x
2
1
tan
x
x
x
…
Mathematics
Problem
If
f
(
x
)
=
∣
sin
x
cos
x
tan
x
x
3
x
2
x
2
x
1
x
∣
f(x) = \begin{vmatrix} \sin x & \cos x & \tan x \\ x^3 & x^2 & x \\ 2x & 1 & x \end{vmatrix}
f
(
x
)
=
sin
x
x
3
2
x
cos
x
x
2
1
tan
x
x
x
, then
lim
x
→
0
f
(
x
)
x
2
=
\lim_{x \to 0} \frac{f(x)}{x^2} =
lim
x
→
0
x
2
f
(
x
)
=
(a) 1 (b) 0 (d) 2 (201
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