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14. Sequences & Series / Series / Problem 4
Problem 4
Estimate the value of the convergent series
∑
x
=
1
∞
(
−
1
)
x
x
3
{\(\displaystyle\]\sum\)_{x=1}^{\(\infty\)}}\(\frac{\left(-1\right)^{x}\)}{x^3}
with an absolute error less than
2
×
10
−
3
2\(\times\)10^{-3}
. Round the answer to three decimal places.
A
0.903
0.903
B
−
0.903
-0.903
C
0.309
0.309
D
−
0.309
-0.309
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