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Mathematics
Mathematics
Problem
The value of
lim
x
→
0
(
sin
x
−
tan
x
)
2
−
(
1
−
cos
2
x
)
4
+
x
5
7
(
tan
−
1
x
)
7
+
(
sin
−
1
x
)
6
+
3
sin
5
x
\lim_{x \to 0} \frac{(\sin x - \tan x)^2 - (1 - \cos 2x)^4 + x^5}{7(\tan^{-1} x)^7 + (\sin^{-1} x)^6 + 3\sin^5 x}
lim
x
→
0
7
(
t
a
n
−
1
x
)
7
+
(
s
i
n
−
1
x
)
6
+
3
s
i
n
5
x
(
s
i
n
x
−
t
a
n
x
)
2
−
(
1
−
c
o
s
2
x
)
4
+
x
5
equal to : (a) 0 (b) 1 (c) 2 (d)
1
3
\frac{1}{3}
3
1
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