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Mathematics
Problem
Explain, in at most two sentences, why
lim
x
→
0
x
3
cos
(
1
x
)
=
0
\displaystyle\lim_{x\to 0} x^{3}\cos\!\left(\tfrac{1}{x}\right)=0
x
→
0
lim
x
3
cos
(
x
1
)
=
0
.
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