Which of the following is the best approximation to `((2^3-1)(3^3-1)(4^3-1)(1000^3-1))/((2^3+1)(3^3 +1)(4^3+1)(1000^3+1))`

Which of the following is the best approximation to ((2^(3)-1) (3^(3)-1)……..(1000^(3)-1))/((2^(3)+1)(3^(3)+1)…..(1000^(3) +1))

If A={1,2,3} and B={2,3,4} , find which of the following are the functions from A to B? (i) f={(1,2),(2,3),(3,4)} (ii) g={(1,2),(1,3),(2,3),(3,4)} (iii) h={(1,3),(2,4)}

If A={1,2,3} and B={2,3,4} , find which of the following are the functions from A to B? (i) f={(1,2),(2,3),(3,4)} (ii) g={(1,2),(1,3),(2,3),(3,4)} (iii) h={(1,3),(2,4)}

Find the least value of n for which 1+3+3^(2)+…3^(n-1)>1000

The sum of the infinite series (1)/(2) ((1)/(3) + (1)/(4)) - (1)/(4)((1)/(3^(2)) + (1)/(4^(2))) + (1)/(6) ((1)/(3^(3)) + (1)/(4^(3))) - ...is equal to

{ ((1)/(3))^(-3) - ((1)/(2)) ^(-3) } div ((1)/(4)) ^(-3) = ?

Find the least value of n for which 1+3+3^(2)+.......+3^(n-1)>1000