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Mathematics
Mathematics
Problem
In the function
f
(
x
)
=
2
x
−
sin
−
1
x
2
x
+
tan
−
1
x
,
(
x
≠
0
)
f(x) = \frac{2x - \sin^{-1} x}{2x + \tan^{-1} x}, (x \neq 0)
f
(
x
)
=
2
x
+
t
a
n
−
1
x
2
x
−
s
i
n
−
1
x
,
(
x
=
0
)
is continuous at each point of its domain, then the value of
f
(
0
)
f(0)
f
(
0
)
is (a) 2 (b)
1
/
3
1/3
1/3
(c)
2
/
3
2/3
2/3
(d)
−
1
/
3
-1/3
−
1/3
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