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

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

Let lambda=int_(0)^(1)(dx)/(1+x^(3)),p=(lim)_(n rarr oo)[(prod_(r=1)^(n)(n^(3)+r^(3)))/(n^(3n))]^(-) then ln p is equal to (a)ln2-1+lambda(b)ln2-3+3 lambda(c)2ln2-lambda(d)ln4-3+3 lambda

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

The value of Lt_(n rarr oo)prod_(r=1)^(n)((n+r)/(n))^((1)/(n)) equals

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

{:(" "Lt),(n rarr oo):} sum_(r=1)^(n)((r^(3))/(r^(4)+n^(4)))=

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

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