e_(n rarr oo)^((t)(1+(1)/(n^(2)))(1+(2)/(n^(2)))...*(1+(n^(2))/(n^(2)))^(4n)

Lt_(n rarr oo)[(1+(1)/(n^(2)))^((2)/(n^(2)))(1+(2^(2))/(n^(2)))^((4)/(n^(2)))(1+(3^(2))/(n^(2)))^((6)/(n^(2))).....(1+(n^(2))/(n^(2)))^((2n)/(n^(2)))]

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

lim_(n rarr oo) ((1)/(1-n^(2)) + (2)/(1-n^(2)) +…...+(n)/(1-n^(2))) is :

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

Evaluate: lim_(n rarr oo)((1^(2))/(n^(3))+(2^(2))/(n^(3))+(3^(2))/(n^(4))+...+(1)/(n))

Lt_(n rarr oo)(1)/(n)[e^((1)/(n))+e^((2)/(n))+....+e^((n)/(2))]

Evaluate :(lim_(x rarr oo))_(x rarr oo)(1)/(1+n^(2))+(1)/(2+n^(2))+...+(n)/(n+n^(2))