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Mathematics
Mathematics
Problem
For
ε
=
0.001
\varepsilon=0.001
ε
=
0.001
, what is the least integer
M
M
M
among the options below that guarantees
∣
1
x
2
∣
<
ε
\left|\dfrac{1}{x^{2}}\right|<\varepsilon
x
2
1
<
ε
whenever
x
>
M
x>M
x
>
M
? a)
31
31
31
b)
100
100
100
c)
32
32
32
d)
10
10
10
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