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Mathematics
Mathematics
Problem
Prove that
lim
x
→
∞
sin
x
cos
2
x
sin
3
x
x
3
=
0
\displaystyle\lim_{x\to\infty}\dfrac{\sin x\, \cos 2x\, \sin 3x}{x^3}=0
x
→
∞
lim
x
3
sin
x
cos
2
x
sin
3
x
=
0
.
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