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Mathematics
Mathematics
Problem
For the series
∑
n
=
0
∞
(
−
1
)
n
2
n
+
1
\displaystyle \sum_{n=0}^{\infty}\dfrac{(-1)^{n}}{2n+1}
n
=
0
∑
∞
2
n
+
1
(
−
1
)
n
, what is the least number of terms that must be summed so that the approximation is guaranteed to be within
0.0005
0.0005
0.0005
of the true value? a)
999
999
999
b)
1000
1000
1000
c)
2000
2000
2000
d)
500
500
500
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