The value of `(1-1/2)(1-1/3)(1-1/4)(1-1/5).......(1-1/n)` is:

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a. 3 b. 6/5 c. 3/2 d. none of these

If ,Z_1,Z_2,Z_3,........Z_(n-1) are n^(th) roots of unity then the value of 1/(3-Z_1)+1/(3-Z_2)+..........+1/(3-Z_(n-1)) is equal to

(1)/(1.2)+(1)/(3.4)+(1)/(5.6)+....

Find the value of (2^-1+3^-1)^-1-:5^-1

The reciprocal of the value of: ("lim")_(nvecoo)(1-1/(2^2))(1-1/(3^2))(1-1/(4^2))(1-1/(n^2))i s

The reciprocal of the value of lim_(ntooo) (1-(1)/(2^(2)))(1-(1)/(3^(2)))(1-(1)/(4^(2)))...(1-(1)/(n^(2))) is__________.

If s_n=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)), where n in N, then

If n is an odd integer greater than or equal to 1, then the value of n^3 - (n-1)^3 + (n-1)^3 - (n-1)^3 + .... + (-1)^(n-1) 1^3

If a_(n)=1+(1)/(2)+(1)/(3)+(1)/(4)+(1)/(5)+ . . . .+(1)/(2^(n)-1) , then

By the principle of mathematical induction prove that the following statements are true for all natural numbers 'n' (a) (1)/(1.3)+(1)/(3.5)+(1)/(5.7)+......+(1)/((2n-1)(2n+1)) =(n)/(2n+1) (b) (1)/(1.4)+(1)/(4.7)+(1)/(7.10)+......+(1)/((3n-2)(3n+1)) =(n)/(3n+1)