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Mathematics
Problem
For the alternating harmonic series
∑
n
=
1
∞
(
−
1
)
n
−
1
1
n
\displaystyle \sum_{n=1}^{\infty} (-1)^{n-1}\frac{1}{n}
n
=
1
∑
∞
(
−
1
)
n
−
1
n
1
, what is the least integer
N
N
N
such that the magnitude of the error after
N
N
N
terms is less than
0.01
0.01
0.01
? a)
99
99
99
b)
101
101
101
c)
100
100
100
d)
50
50
50
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