Home
Class 12
MATHS
(sqrt(2)-1)/(sqrt(2))+(3-2sqrt(2))/(4)+(...

`(sqrt(2)-1)/(sqrt(2))+(3-2sqrt(2))/(4)+(5sqrt(2)-7)/(6sqrt(2))+……oo=`

A

log 2

B

log 3

C

`log sqrt(2)`

D

`log sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - II(B) (HOME WORK)|30 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - I(B) (HOME WORK)|9 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

Similar Questions

Explore conceptually related problems

(7+sqrt2)(7-sqrt2) =

Simplify each of the following by rationalising the denominator : i) (6-4sqrt(2))/(6+4sqrt(2)) ii) (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5)) iii) (1)/(3sqrt(2)-2sqrt(3))

sqrt(2+sqrt(2+sqrt(2+sqrt(2))))=

Rationalise the denominators of the following : i) (1)/(3+sqrt(2)) ii) (1)/(sqrt(7)-sqrt(6)) iii) (1)/(sqrt(7)) iv) (sqrt(6))/(sqrt(3)-sqrt(2))

Classify the following numbers as rational or irrational . i) 5-sqrt(3) ii) sqrt(3)+sqrt(2) iii) (sqrt(2)-2)^(2) iv) (2sqrt(7))/(7sqrt(7))

Simplify the following expressions : (i) (3+sqrt(3))(2+sqrt(2)) (ii) (2+sqrt(3))(2-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations . i) (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))=a+bsqrt(6) ii) (sqrt(5)+sqrt(3))/(2sqrt(5)-3sqrt(3))=a-bsqrt(15)

If the angle between the lines whose direcrtion cosines are (-(2)/(sqrt(21)),(C)/(sqrt(21)),(1)/(sqrt(21)))and((3)/(sqrt(54)),(3)/(sqrt(54)),(-6)/(sqrt(54))) is (pi)/(2) , then the value of C is

AAKASH SERIES-LOGARITHMIC SERIES -EXERCISE - II(A) (CLASS WORK)
  1. log(1+x+x^(2)+...oo)=

    Text Solution

    |

  2. (2)/(1).(1)/(3)+(3)/(2).(1)/(9)+(4)/(3).(1)/(27)+(5)/(4).(1)/(81)+…oo=

    Text Solution

    |

  3. (sqrt(2)-1)/(sqrt(2))+(3-2sqrt(2))/(4)+(5sqrt(2)-7)/(6sqrt(2))+……oo=

    Text Solution

    |

  4. Assertion (A) : If x+(x^(2))/(2)+(x^(3))/(3)+………oo=log((7)/(6)) then...

    Text Solution

    |

  5. If f(x)=(1)/(x+1)+(1)/(2(x+1)^(2))+(1)/(3(x+1)^(3))+…(x gt 1) and f(1...

    Text Solution

    |

  6. y=2x^(2)-1, then (1)/(x^(2))+(1)/(2x^(4))+(1)/(3x^(6))+…….oo

    Text Solution

    |

  7. If |a| lt 1, b = sum(k=1)^(oo) (a^(k))/(k) rArr a=

    Text Solution

    |

  8. If xgt0 then (x-1)/(x+1)+(1)/(2)(x^(2)-1)/((x+1)^(2))+(1)/(3)(x^(3)-1)...

    Text Solution

    |

  9. Statement-I : ((x-y)/(x))+(1)/(2)((x-y)/(x))^(2)+(1)/(3)((x-y)/(x))^...

    Text Solution

    |

  10. Statement-I : log(1+x+x^(2)+…)=x+(x^(2))/(2)+(x^(3))/(3)+(x^(4))/(4)...

    Text Solution

    |

  11. Observe the following lists {:("List-I","List-II"),((A) 1-(1)/(2)+(...

    Text Solution

    |

  12. (1)/(4)+(1)/(3)((1)/(4))^(3)+(1)/(5)((1)/(4))^(5)+…..oo=…….

    Text Solution

    |

  13. 1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=

    Text Solution

    |

  14. If y+(y^(3))/(3)+(y^(5))/(5)+…oo=2[x+(x^(3))/(5)+(x^(5))/(5)+…oo] then

    Text Solution

    |

  15. sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

    Text Solution

    |

  16. If 0 lt y lt 2^(1//3) and x(y^(3)-1)=1 then (2)/(x)+(2)/(3x^(3))+(2)...

    Text Solution

    |

  17. If x,y,z are three consecutive positive integers then (1)/(2)log(e)x...

    Text Solution

    |

  18. sum(n=1)^(oo)(1)/(2n-1)*x^(2n)=

    Text Solution

    |

  19. If 0 lt y lt 1, then sum(n=1)^(oo)(1)/(2n-1)*y^(n+1)=……

    Text Solution

    |

  20. If log(e )((1+x)/(1-x))=a(0)+a(1)x+a(2)x^(2)+…oo then a(1), a(3), a(5)...

    Text Solution

    |