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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
∞
x
sin
(
1
x
)
\displaystyle\lim_{x\to\infty}x\,\sin\left(\dfrac{1}{x}\right)
x
→
∞
lim
x
sin
(
x
1
)
. a)
0
0
0
b)
1
1
1
c)
1
2
\dfrac{1}{2}
2
1
d)
∞
\infty
∞
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