`lim_(n-gtoo)((n-1)(n-2)(n-3))/(n^3)`

lim_(n to oo)((1)/(n^2)+(2)/(n^2)+(3)/(n^2)+"………."+(n)/(n^2)) is

lim_(ntooo)(((n+1)(n+2)....3n)/(n^(2n)))^(1//n) is equal to

Prove that, lim_(ntooo)[(n)/(n^(2))+(n+1)/(n^(2))+(n+2)/(n^(2))+.......+(2n)/(n^(2))]=(3)/(2)

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

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

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

lim_(n to oo)((1)/(1+n^(3))+(4)/(8+n^(3))+....+(r^(2))/(r^(3)+n^(3))+....+(1)/(2n))

lim_(ntooo) (n(2n+1)^(2))/((n+2)(n^(2)+3n-1))" is equal to "