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

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

lim_(n rarr oo) (1.2 +2.3+3.4+ .....+n(n+1))/n^(3)=

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

Let a = lim_(n rarr oo) (1+2+3+.....+n)/(n^(2))= , b = lim_(n rarr oo) (1^(2)+2^(2)+.....+n^(2))/(n^(3))= then

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

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

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

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

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

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