Evaluate :
`lim_( n ->oo ) { ( n^(n +1 ) ( 1 + 1/n )^( n +1 ) ) / n^(n +1 ) }`

Evalute lim_ (n rarr oo) [(1) / ((n + 1) (n + 2)) + (1) / ((n + 2) (n + 4)) + ...... + ( 1) / (6n ^ (2))]

Evaluate lim_ (n rarr oo) [(1+ (1) / (n)) 91+ (2) / (n)) .... (1+ (n) / (n))] ^ ((1) /(a))

Find lim_ (n rarr oo) n ^ (n) (1 + n) ^ (- n)

Evaluate: (lim)_(n rarr oo)[(n!)/(n^(n))]^(1/n)

evaluate lim_ (n rarr oo) ((e ^ (n)) / (pi)) ^ ((1) / (n))

Evaluate: lim_ (n rarr oo) (1 * 2 + 2 * 3 + 3 * 4 + ... + n (n + 1)) / (n ^ (3))

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

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

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