It inputted this(below) limit and it gives above output.
$limit(\frac{-\frac{1}{4}(-1)^{N+1}-\frac{1}{2}(-1)^{N+1}(N+1)+\frac{1}{4}}{N+1}, N = \infty)$
Is it right answer, or does output $-1/2-1/2I .. 1/2+1/2I$ mean that sequence is alternating sequence? ten first terms of sequence($N=0..10$): $1, -1/2, 2/3, -1/2, 3/5, -1/2, 4/7, -1/2, 5/9, -1/2, 6/11$