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Mathematics
Mathematics
Problem
Determine
lim
x
→
0
x
sin
3
x
1
−
cos
x
\displaystyle \lim_{x\to 0} \dfrac{x\sin 3x}{1-\cos x}
x
→
0
lim
1
−
cos
x
x
sin
3
x
. a)
3
3
3
b)
6
6
6
c)
0
0
0
d) The limit diverges to infinity.
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