Evaluate the following limit:
`lim_(nto oo)[(n!)/(n^(n))]^(1//n)`

Evaluate the following limits: lim_(x to oo)(q^(n)+p^(n))^(1//n), 0 lt p lt q

Evaluate the following limit : (lim)_(n->oo)(n/(n+y))^n

Evaluate the following limits : Lim_( n to oo) (1+2/n)^(2n)

Evaluate the following limit: (lim)_(n rarr oo)((1)/(n^(2))+(2)/(n^(2))+(3)/(n^(2))++(n-1)/(n^(2)))

Evaluate the following limits : Lim_(n to oo) (Sigman^(3))/(n^(4))

Evaluate the following limit: (lim)_(n->oo)2^(n-1)sin(a/(2^n))

Evaluate the following limits : Lim_(n to oo) (1+2+3+...+n)/(n^(2)) ( or Lim_(x to oo) (Sigman)/(n^(2)))

Evaluate the following limit: lim_(nto oo)(sum_(r=1)^(n) sqrt(r)sum_(r=1)^(n)1/(sqrt(r)))/(sum_(r=1)^(n)r)

Evaluate the following limit: lim_(nto oo)(sum_(r=1)^(n) sqrt(r)sum_(r=1)^(h)1/(sqrt(r)))/(sum_(r=1)^(n)r)

Evaluate the following limit: lim_(nto oo)(sum_(r=1)^(n) sqrt(r)sum_(r=1)^(h)1/(sqrt(r)))/(sum_(r=1)^(n)r)