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

The value of lim_(nrarroo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1) is

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

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

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is

For a in R (the set of all real numbers), a!=-1), (lim)_(n->oo)((1^a+2^a++n^a)/((n+1)^(a-1)[(n a+1)+(n a+2)+......(n a+n)])=1/(60.) Then a= (a) 5 (b) 7 (c) (-15)/2 (d) (-17)/2

Evaluate lim_(n->oo)n[1/((n+1)(n+2))+1/((n+2)(n+4))+...+1/(6n^2)]

If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of x is (where n epsilon N )

Evaluate: ("lim")_(nvecoo)n^(-n^2){(n+2^0)(n+2^(-1))(n+2^(-2))(n+2^(-n+1))}^n

Find the sum of series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1))^2+5((2n+1)/(2n-1))^3+...