Question: sum _ ( n = 1 ) ^ ( infty ) ( n ( - x ) ^ ( n ) ) /

\sum_(n=1)^(\infty )(n(-x)^(n))/(n^(2)+1)
does the series converge or diverge? use the ratio test
\ sum _ ( n = 1 ) ^ ( \ infty ) ( n ( - x ) ^ ( n

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