Home
Class 12
MATHS
The vlaue of 9^(1//3)xx9^(1//9)xx9^(1//2...

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

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -1 PART -II RMO|3 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART -I PREVIOUS ASKED QUESTION FOR PRE RMO)|18 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise SELF PRACTICE PROBLEMS |22 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

RESONANCE-SEQUENCE & SERIES -EXERCISE -1 PART -I RMO
  1. In the following two A.P. 's ow many terms are identical ? 2,5,8,11...

    Text Solution

    |

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

    Text Solution

    |

  3. The sum of 10 terms of the series 0.7+ 0.77+ 0.777+………is -

    Text Solution

    |

  4. n^(t h) terms of the series 1+4/5+7/(5^2)+(10)/(5^3)+ ......... will b...

    Text Solution

    |

  5. The sum of infinite terms of the series 5 - 7/3 + (9)/(3 ^(2)) - (11)/...

    Text Solution

    |

  6. The sum of the series 1.2 + 2.3+ 3.4+…….. up to 20 tems is

    Text Solution

    |

  7. sum (r = 2) ^(oo) (1)/(r ^(2) - 1) is equal to :

    Text Solution

    |

  8. If (1 ^(2) - t (1)) + (2 ^(2) - t (2)) + ......+ ( n ^(2) - t (n)) =(...

    Text Solution

    |

  9. If x gt 0, then the expression (x ^(100))/( 1 + x + x ^(2) +x ^(3) + ....

    Text Solution

    |

  10. Given the sequence a, ab, aab, aabb, aaabb,aaabbb,…. Upto 2004 terms, ...

    Text Solution

    |

  11. A sequence a (0) , a(1), a (2), a(3)………..a (n) …. is defined such that...

    Text Solution

    |

  12. The first two terms of a sequence are 0 and 1, The n ^(th) terms T (n)...

    Text Solution

    |

  13. Consider the following sequence :a (1) = a (2) =1, a (i) = 1 + minimum...

    Text Solution

    |

  14. The sum of (1)/( 2sqrt1+1 sqrt2 ) + (1)/( 3 sqrt2 + 2 sqrt3 ) + (1)/(...

    Text Solution

    |

  15. If f (x) + f (1 - x) is equal to 10 for all real numbers x then f ((1)...

    Text Solution

    |

  16. Consider the sequence 4,4,8,0,2,2,4,6,0,….. where the nth term is the ...

    Text Solution

    |

  17. For some natureal number 'n', the sum of the fist 'n' natural numbers ...

    Text Solution

    |

  18. An arithmetical progression has positive terms. The ratio of the diffe...

    Text Solution

    |

  19. The 12 numbers, a (1), a (2)………, a (12) are in arithmetical progressio...

    Text Solution

    |

  20. Each term of a sequence is the sum of its preceding two terms from the...

    Text Solution

    |