[lim_(n rarr oo)(n)/(3)(((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/(n^(2)))^(2)+],[((3)/(n)+(27)/(n^(2)))^(2)+...+((3)/(n)+(9)/(n))^(2))=]

lim_(n to prop) (n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/(n^(2)))^(2)+((3)/(n)+(27)/(n^(2)))^(2)+….+((3)/(n)+(9)/(n))^(2)} is less than or equal to

lim_(ntoprop) (n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/(n^(2)))^(2)+((3)/(n)+(27)/(n^(2)))^(2)+….+((3)/(n)+(9)/(n))^(2)} is less than or equal to

lim_(n rarr oo)(2^(3n))/(3^(2n))=

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

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

lim_(x rarr oo) ((2n+1)(3n+2))/(n(n+9))=

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

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

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