Find an Approximation of the Sum of the Series Accurate $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 3 } }$$

Multiple Choice

Find an approximation of the sum of the series accurate to two decimal places. $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 3 } }$$

A) $- 1.06$
B) $- 0.84$
C) $- 0.90$
D) $- 0.98$