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Lim(nrarroo)((n+2)!+(n+1)!)/((n+2)!-(n+1...

`Lim_(nrarroo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)`

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lim_(n rarr oo)((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1)) is

lim_ (n rarr oo) (2 ^ (n) -1) / (2 ^ (n) +1)

lim_ (n rarr oo) (2 ^ (n) -1) / (2 ^ (n) +1)

The function f(x)=lim_(nrarroo)((x-2)^(2n)-1)/((x-2)^(2n)+1) (AA n in N) is discontinuous at

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to

lim_ (n rarr oo) (1) / (n) [(1) / (n + 1) + (2) / (n + 2) + ... + (3n) / (4n)]

lim_ (n rarr oo) ((sqrt (n ^ (2) + n) -1) / (n)) ^ (2sqrt (n ^ (2) + n) -1)