lim(根号n^2+n)-n-1
=lim[(n^2+n)-(n²+2n+1)]/[(根号n^2+n)+n+1]
=lim(-n-1)/[(根号n^2+n)+n+1]
=lim(-1-1/n)/[(根号1+1/n)+1+1/n]
=-1/2
lim(根号n^2+n)-n-1
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