lim n! (n + 1)! -n! Options: 1. * 1 2. *-1 2 2 3. * 40

lim_ (n rarr oo) [(1 * n + 2 (n-1) + ... + n * 1) / (1 ^ (3) + 2 ^ (3) + ... + n ^ (3) ) +1] ^ (n)

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

lim_ (n rarr oo n rarr oo) (1.n ^ (2) +2 (n-1) ^ (2) +3 (n-2) + ... + n.1 ^ (2)) / ( 1 ^ (3) + 2 ^ (3) + ... n ^ (3))

lim_(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =

lim_ (n rarr oo) ((1) / (n + 1) + (1) / (n + 2) + (1) / (n + 3) + ...... + (1) / (6n ))

The sum S = lim_ (n rarr oo) [(1) / (n + 1) + (1) / (n + 2) + (1) / (n + 3) + ----- + (1) / (2n)]

lim_ (n rarr oo) (1.n + 2 (n-1) +3 (n-2) + ... + n.1) / (1 ^ (2) + 2 ^ (2) + 3 ^ ( 2) + ... + n ^ (2))