Home
Class 12
MATHS
The value of lim(n to oo){(sqrt(n+1)+sqr...

The value of `lim_(n to oo){(sqrt(n+1)+sqrt(n+2)+…+sqrt(2n-1))/(n^(3//2))}` is

A

`(2)/(3)(2sqrt(2)-1)`

B

`(2)/(3)(sqrt(2)-1)`

C

`(2)/(3)(sqrt(2)+1)`

D

`(2)/(3)(2sqrt(2)+1)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

The value of underset(n to oo)lim[(sqrt(n+1)+sqrt(n+2)+…+sqrt(2n-1))/(n^((3)/(2)))]

lim_(nto oo)[(sqrt(n+1)+sqrt(n+2)+...+sqrt(2)n)/(sqrt(n^(3)))]

The value of Lim_(n to oo) n!/((n+1)!-n!)

lim_(nto oo)(sqrt1+sqrt2+......+sqrt(n-1))/(nsqrtn)=

underset(n to oo)lim(sqrt(1)+sqrt(2)+…+sqrt(n-1))/(nsqrt(n))=

The value of lim_( n to oo) sum_(r =1)^(n) (r )/(n^(2))"sec"^(2)(r^(2))/(n^(2)) is equal to -

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n)e^((r)/(n)) is -

The value of lim_(n to oo) sum_(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is

The value of lim_(nrarrprop) ((n+1)(2n+1))/n^2 is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. int 2^(x)(f'(x)+f(x)log 2)dx is equal to

    Text Solution

    |

  2. int(0)^(1)log((1)/(x)-1)dx=

    Text Solution

    |

  3. The value of lim(n to oo){(sqrt(n+1)+sqrt(n+2)+…+sqrt(2n-1))/(n^(3//2)...

    Text Solution

    |

  4. If the solution of the differential equation x(dy)/(dx)+y=xe^(x) be, x...

    Text Solution

    |

  5. The order of the differential equation of all parabolas whose axis of ...

    Text Solution

    |

  6. The line y=x+lambda is tangent to the ellipse 2x^(2)+3y^(2)=1. Then la...

    Text Solution

    |

  7. The area enclosed by y=sqrt(5-x^(2)) nd y=|x-1| is

    Text Solution

    |

  8. Let S be the set of points whose abscissas and ordinates are natural n...

    Text Solution

    |

  9. Time period T of a simple pendulum of length l is given by T = 2pi sqr...

    Text Solution

    |

  10. The cosine of the angle between any two diagonals of a cube is

    Text Solution

    |

  11. If x is a positive real number different from 1 such that log(a)x,log(...

    Text Solution

    |

  12. If a, x are real numbers and |a|lt 1, |x|lt 1, then 1+(1+a)x+(1+a+a^(2...

    Text Solution

    |

  13. If log(0.3)(x-1)lt log(0.09)(x-1), then x lies in the interval

    Text Solution

    |

  14. The value of sum(n=1)^(13)(i^(n)+i^(n+1)),i=sqrt(-1) is

    Text Solution

    |

  15. If z(1), z(2), z(3) are complex numbers such that |z(1)|=|z(2)|=|z(3)|...

    Text Solution

    |

  16. If p, q are the roots of the equation x^(2)+px+q=0, then

    Text Solution

    |

  17. The number of values of k for which the equation x^(2)-3x+k=0 has two ...

    Text Solution

    |

  18. The number of ways in which the letters of the word ARRANGE can be per...

    Text Solution

    |

  19. If, (1)/(""^(5)C(r ))+(1)/(""^(6)C(r ))=(1)/(""^(4)C(r )), then the va...

    Text Solution

    |

  20. For +ve integer n, n^(3)+2n is always divisible by

    Text Solution

    |