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Mathematics
Mathematics
Problem
Find the smallest positive integer
N
N
N
such that using the first
N
N
N
terms of
∑
k
=
1
∞
1
k
2
\displaystyle\sum_{k=1}^{\infty}\frac{1}{k^{2}}
k
=
1
∑
∞
k
2
1
approximates the total sum to within
0.01
0.01
0.01
.
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