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Mathematics
Mathematics
Problem
lim
x
→
0
x
a
sin
b
x
sin
(
x
c
)
\lim_{x \rightarrow 0} \frac{x^a \sin^b x}{\sin(x^c)}
lim
x
→
0
s
i
n
(
x
c
)
x
a
s
i
n
b
x
, where
a
,
b
,
c
∈
R
∼
{
0
}
a, b, c \in \mathbb{R} \sim \{0\}
a
,
b
,
c
∈
R
∼
{
0
}
, exists and has non-zero value. Then, (a)
a
+
c
=
b
a + c = b
a
+
c
=
b
(b)
b
+
c
=
a
b + c = a
b
+
c
=
a
(c)
a
+
b
=
c
a + b = c
a
+
b
=
c
(d) none of these
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