`lim_(n rarr oo)3^(1/n)` equals

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

f(n) = cot^2 (pi/n) + cot^2\ (2 pi)/n +...............+ cot^2\ ((n-1) pi)/n, ( n>1, n in N) then lim_(n rarr oo) f(n)/n^2 is equal to (A) 1/2 (B) 1/3 (C) 2/3 (D) 1

80.The value of Lt_(n rarr oo)n^((1)/(n)) is equal to :

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

If the value of lim_(n rarr oo)(n^(-3/2)) sum_(j=1)^(6n) sqrt(j) is equal to sqrt(N) , then the value of N/(12) is __________

lim_(n rarr oo)(3+sqrt(n))/(sqrt(n))

lim_(n rarr oo)(2^(n+1)+3^(n+1))/(2^n+3^n) equals (A)2 (B)3 (C)5 (D)0

If S_(n)=(1^(2).(2))/(1!)+(2^(2).3)/(2!)+(3^(2).4)/(3!)+…(n^(2).(n+1))/(n!) then lim_(n rarr infty) S_(n) is equal to

If f(n+2)=(1)/(2){f(n+1)+(9)/(f(n))}, n in N and f(n) gt0 for all n in N , then lim_( n to oo)f(n) is equal to

lim_(n->oo) nsin(1/n)