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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
x
2
(
1
−
cos
1
x
)
g(x)=x^{2}\bigl(1-\cos\dfrac{1}{x}\bigr)
g
(
x
)
=
x
2
(
1
−
cos
x
1
)
. What is
lim
x
→
∞
g
(
x
)
\displaystyle\lim_{x\to\infty} g(x)
x
→
∞
lim
g
(
x
)
? a)
0
0
0
b)
∞
\infty
∞
c)
1
2
\dfrac12
2
1
d)
1
1
1
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