Home
Class 12
MATHS
The value of sqrt(2-1)/sqrt(2)+3-2sqrt(2...

The value of `sqrt(2-1)/sqrt(2)+3-2sqrt(2)/(4)+5sqrt(2-7)/6sqrt(2)+17-12sqrt(2)/(16)+..+++..+ add.infty` is

A

`log_(e)2`

B

`log_(e)sqrt(2)`

C

`log_(e)3`

D

`log_(e)sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|5 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA|Exercise Exercise|45 Videos

Similar Questions

Explore conceptually related problems

The value of sqrt(2 sqrt(2 sqrt(2...infty))) is

sqrt(5sqrt(2)-2sqrt(12))=

6.The value of (sqrt(5)+sqrt(2))(sqrt(5)-sqrt(2)) is:

The value of 5sqrt(3) + 7sqrt(2) - sqrt(6) - 23/(sqrt(2) + sqrt(3) + sqrt(6)) is:

The value of sqrt(6+2sqrt(3)+2sqrt(2)+2sqrt(6))-(1)/(sqrt(5-2sqrt(6))) is

1+(sqrt(2)-1)/(2sqrt((2)))+(3-2sqrt(2))/12+(5sqrt(2))/24sqrt(2)...

The value of 2(sqrt(2)+sqrt(6))/(3sqrt(2+sqrt(3)))+sqrt(2+sqrt(3))+sqrt(2-sqrt(3))

The value of 2(log_(sqrt(2)+1)sqrt(3-2sqrt(2))+log_((2)/(sqrt(3+1)))(6sqrt(3)-10)) is

The value of (6sqrt(27)-sqrt(6(3)/(4)))^(2)+(2(sqrt(2)+sqrt(6)))/(3sqrt(2+sqrt(3))) is

OBJECTIVE RD SHARMA-EXPONENTIAL AND LOGARITHMIC SERIES-Exercise
  1. If (e^(5x)+e^(x))/(e^(3x)) is expand in a series of ascending powers o...

    Text Solution

    |

  2. In the expansion of (e^(7x)+e^(3x))/(e^(5x)) the constant term is

    Text Solution

    |

  3. The value of sqrt(2-1)/sqrt(2)+3-2sqrt(2)/(4)+5sqrt(2-7)/6sqrt(2)+17-1...

    Text Solution

    |

  4. If y=2x^(2)-1 then (1)/(x^(2))+(1)/(2x^(4))+(1)/(3x^(6))+…infty equals...

    Text Solution

    |

  5. If S=Sigma(n=2)^(oo) ""^(n)C(2) (3^(n-2))/(n!) then S equals

    Text Solution

    |

  6. If (e^(x))/(1-x) = B(0) +B(1)x+B(2)x^(2)+...+B(n)x^(n)+... , then the ...

    Text Solution

    |

  7. IfS=Sigma(n=1)^(oo) (""^(n)C(0)+""^(n)C(1)+""^(n)c(2)+..+""^(n)C(n))/(...

    Text Solution

    |

  8. If S=Sigma(n=2)^(oo) (""^(n)C(2))/(n+1)! then S equals

    Text Solution

    |

  9. 1/(1.2)+(1.3)/(1.2.3.4)+(1.3.5)/(1.2.3.4.5.6)+.....oo

    Text Solution

    |

  10. The sum of the series (12)/(2!)+(28)/(3!)+(50)/(4!)+(78)/(5!)+…is

    Text Solution

    |

  11. If a=sum(n=0)^(oo) (x^(3n))/((3n)!) , b=sum(n=1)^(oo) (x^(3n-2))/((3n-...

    Text Solution

    |

  12. If S(n) denotes the sum of the products of the products of the first n...

    Text Solution

    |

  13. Sigma(n=0)^(oo) (log(e)x)^(n)/(n!) is equals to

    Text Solution

    |

  14. If a = Sigma(n=1)^(oo) (2n)/(2n-1!),b=Sigma(n=1)^(oo) (2n)/(2n+1!) the...

    Text Solution

    |

  15. The value of (1+(a^(2)x^(2))/(2!)+(a^(4)x^(4))/(4!)+…)^(2)-(ax+(a^(3...

    Text Solution

    |

  16. If S(n)=(1^(2).(2))/(1!)+(2^(2).3)/(2!)+(3^(2).4)/(3!)+…(n^(2).(n+1))...

    Text Solution

    |

  17. If S=Sigma(n=0)^(oo) (logx)^(2n)/(2n!) , then S equals

    Text Solution

    |

  18. If y+(y^(3))/(3)+(Y^(5))/(5)+…infty=2(x+(x^(3))/(3)+(x^(5))/(5)+..inft...

    Text Solution

    |

  19. The value of log 2+2 (1/5+1/3.(1)/(5^(3))+1/5.(1)/(5^(5))+..+infty) is

    Text Solution

    |

  20. The sum of the series 1/1.2-1/2.3+1/3.4-1/4.5+ ... is

    Text Solution

    |