The value of `lim_(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi)/(2n))]^(1/n)` is

Evaluate: (lim_(n->oo)ncos(pi/(4n))sin(pi/(4n))

The value of lim_(ntooo) [(1+2+3+...+n)/n^2] is

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

The value of lim_(nto0) [(1+2+3+...+n)/n^2] is

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

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

The value of lim_(ntooo) [(1+2+3+...+n)/(n^2+5n+2)] is

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

The value of lim_(n rarroo) sum_(r=1)^(n)(1)/(sin{((n+r)pi)/(4n)}).(pi)/(n) is equal to

Evaluate lim_(ntooo) (1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2)).