lim_(n rarr oo)prod_(r=3)^(n)((gamma^(3)-1)/(r^(3)+1))

Number of solutions of the equation cos ec theta=k in[0,pi] where k=lim_(n rarr oo)pi_(r=2)^(n)((r^(3)-1)/(r^(3)+1)) is

The value of lim_(n rarr oo)prod_(r=0)^(n)(1+(1)/(2^(2^(r)))) is

Which of the following is the value of lim_(n rarr oo)sum_(r=1)^(n)(r^(3))/(r^(4)+n^(4))?

lim_ (n rarr oo) prod_ (r = 3) ^ (n) (r ^ (3) -8) / (r ^ (3) +8)

Find the value of lim_(n rarr oo)sum_(r=1)^(n)(r^(2))/(n^(3)+n^(2)+r)

Let lambda=int_0^1(dx)/(1+x^3), p=lim_(n rarr oo)[prod_(r=1)^n(n^3+r^3)/(n^(3n))]^(1//n) then ln p is equal to (a) ln2-1+lambda (b) ln2-3+3lambda (c) 2ln2-lambda (d) ln4-3+3lambda

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

If lim_(n rarr oo)(prod_(r=1)^(n)sin((r pi)/(4n))cos((r pi)/(4n)))^((1)/(n))=(a)/(b) a,b in N then find the least value of (a+b)