If `a=(3^(2/3)-3^(1/3)+1)^(- 1)`, then 4a is

If a=3^((1)/(4))+3^(-(1)/(4)) and b=3^((1)/(4))-3^(-(1)/(4)) then the value of 3(a^(2)+b^(2))^(2)

Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3,1),(1,4),(4,1)}. Then R is

Let A = {1,2,3,4} and R be a relation in A given by R = {(1,1) (2,2) (3,3) (4,4) (1,2) (2,1) (3,1) (1,3)} . Then R is

If A=[(3,-3,4),(2,-3,4),(0,-1,1)] , then A^(-1)=

If A=[(3,-3,4),(2,-3,4),(0,-1,1)] , then A^(-1)=

If A=[(3,-3,4),(2,-3,4),(0,-1,1)]2-3 41 then show that A^-1=A^1.

Let P_ (n) = (2 ^ (3) -1) / (2 ^ (3) +1) * (3 ^ (3) -1) / (3 ^ (3) +1) * (4 ^ ( 3) -1) / (4 ^ (3) +1) ...... (n ^ (3) -1) / (n ^ (3) +1) Prove that lim_ (n rarr oo) P_ ( n) = (2) / (3)