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6. Consider the series ;_L_1_+i_1+1_1+ (Znn2 2n_ 2 32 4 52 6 n21 This is an alternating series where the n-th term goes to zero

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6. Consider the series ;_L_1_+i_1+1_1+ (Znn2 2n_ 2 32 4 52 6 n21 This is an alternating series where the n-th term goes to zero as n > 00. Does this series converge or diverge? Please explain why or Why not. Hint: Consider the partial sums for this series

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