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in Limit, continuity and differentiability by (41.7k points)

If xn = (1 - 2 + 3 - 4 + 5 - 6 + ..... - 2n)/((n2 + 1) + (4n2 - 1)), then lim(n ) xn  is equal to

(A) 1/3

(B) - 2/3

(C) 2/3

(D) 1

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