The value of `lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2)` equals

The value of lim_(x to oo) (1 + 2 + 3 … + n)/(n^(2)) is

lim_(n to oo)(1-2n^(2))/(5n^(2)-n+100)=

The value of lim_( n to oo) ((1)/(n) + (n)/((n+1)^2) + (n)/( (n+2)^2) + ...+ (n)/( (2n-1)^2) ) is

The value of lim_(n to oo)((n!)/(n^(n)))^((2n^(4)+1)/(5n^(5)+1)) is equal

The value of lim_(n to oo)((n!)/(n^(n)))^((2n^(4)+1)/(5n^(5)+1)) is equal

If the value of Lim_(n rarr oo)((n^(2)+n+3)/(n^(2)+3n+5))^(n) is equal to (p)/(e^(2)) ,then the value of p is

lim_(n to oo) " " sum_(r=2n+1)^(3n) (n)/(r^(2)-n^(2)) is equal to