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Find
lim
x
→
0
x
2
sin
(
1
x
)
⋅
sin
(
3
x
)
3
x
\displaystyle\lim_{x\to 0}x^{2}\sin\left(\dfrac{1}{x}\right)\cdot\frac{\sin(3x)}{3x}
x
→
0
lim
x
2
sin
(
x
1
)
⋅
3
x
sin
(
3
x
)
…
Mathematics
Problem
Find
lim
x
→
0
x
2
sin
(
1
x
)
⋅
sin
(
3
x
)
3
x
\displaystyle\lim_{x\to 0}x^{2}\sin\left(\dfrac{1}{x}\right)\cdot\frac{\sin(3x)}{3x}
x
→
0
lim
x
2
sin
(
x
1
)
⋅
3
x
sin
(
3
x
)
. a)
3
3
3
b)
0
0
0
c) Does not exist d)
1
1
1
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