`lim_(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) ` is equal to (a)0 (b) 2 (c) 4 (d) `oo`

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

("lim")_(n->oo)sum_(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (c) 19 (d) 20

lim_(ntooo) n^(2)(x^(1//n)-x^(1//(n+1))),xgt0, is equal to

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

("lim")_(xtooo)1/(1+nsin^2n x)is equal (a)-1 (b) 0 (c) 1 (d) oo

lim_(nto0)(1/n^(2)+2/n^(2)+3/n^(2)+...+n/n^(2)) is

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

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

The value of (lim_(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s 1 (b) -1 (c) 0 (d) none of these

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