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Mathematics
Mathematics
Problem
For the series
∑
k
=
1
∞
(
−
1
)
k
+
1
1
k
3
\displaystyle \sum_{k=1}^{\infty}(-1)^{k+1}\frac{1}{k^{3}}
k
=
1
∑
∞
(
−
1
)
k
+
1
k
3
1
, determine the least integer
N
N
N
such that the remainder after
N
N
N
terms has magnitude less than
10
−
4
10^{-4}
1
0
−
4
. a)
26
26
26
b)
21
21
21
c)
22
22
22
d)
20
20
20
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