" Using Sandwich theorem,evaluate "lim_(n rarr oo)(1)/(1+n^(2))+(2)/(2+n^(2))+

Using Sandwich theorem, evaluate lim_ (n rarr oo) ((1) / (1 + n ^ (2)) + (1) / (2 + n ^ (2)) + ...... + (n) / (n + n ^ (2)))

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

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

lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

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

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

lim_(n rarr oo) (1-n^(2))/(sum n)=

Evaluate lim_(n rarr oo)sum_(k=1)^(n)quad (k)/(n^(2)+k^(2))

lim_(n rarr oo)((1+1/(n^(2)+cos n))^(n^(2)+n) equals