Home
Class 11
MATHS
Prove that 9^(1//3)xx9^(1//9)xx9^(1//27)...

Prove that `9^(1//3)xx9^(1//9)xx9^(1//27)xx...oo=3`.

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise COMPETITION FILE|21 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

The vlaue of 9^(1//3)xx9^(1//9)xx9^(1//27)xx………oo is :

Prove that (9(1)/(3).9^((1)/(9)).9^((1)/(77)).........oo)=3

81^(1/4)xx9^(3//2)xx27^(- 4/3)=

Find the value of 9^((1)/(3)),9^((1)/(9)).9^((1)/(27))...up to oo

If x=9^(1/3)9^(1/9)9^(1/27)......oo , y=4^(1/3)4^(-1/9)4 , z=sum_(r=1)^(oo)(1+i)^(-r) ,then arg (x+yz) is equal to:

The value of 3xx 9^(-3//2) xx 9^(1//2) is

(9/4)^4xx(28/27)^3