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Mathematics
Mathematics
Problem
For nonzero constants
a
a
a
,
b
b
b
, and
c
c
c
, evaluate
lim
x
→
0
(
1
−
cos
(
a
x
)
)
sin
(
b
x
)
x
2
tan
(
c
x
)
\lim_{x\to 0}\frac{(1-\cos(ax))\sin(bx)}{x^{2}\tan(cx)}
x
→
0
lim
x
2
tan
(
c
x
)
(
1
−
cos
(
a
x
))
sin
(
b
x
)
in terms of
a
a
a
,
b
b
b
, and
c
c
c
.
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