Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1...

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

AI Generated Solution

Similar Questions

Explore conceptually related problems

The value of the sum (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+...oo is equal

(1)/(2.4)+(1.3)/(2.4.6)+(1.3.5.7)/(2.4.6.8*10)+.........oo is equal to

Prove that (1-1/3+1/3^(2)-1/3^(3)+1/3^(4)-...oo)=3/4

(1)/((2(1)/(3)))+(1)/((1(3)/(4))) is equal to (a) (7)/(14) (b) (12)/(49) (c) 4(1)/(12) (d) None of these

Find the value of 3+1/(4+(1/(3+1/(4+1/(3+. . . oo))))) is equal to

"tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(3^(3))) + ....oo is equal to

(1)/(2.4)+(1.3)/(2.4.6)+(1.3.5)/(2.4.6.8)+(1.3.5.7)/(2.4.6.8*10)+....oo is equal to

The value of (1)/(6)+(1)/(12)+(1)/(20)......+(1)/(90) is a.(1)/(5) b.(2)/(5) c.(3)/(5)d .none of these