Home
Class 12
MATHS
Evaluate lim(nrarroo) [1/(n+k) + 1/(n+2k...

Evaluate `lim_(nrarroo) [1/(n+k) + 1/(n+2k) + 1/(n+3k) +…+ 1/(n+nk)]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY OF A FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|21 Videos

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

Evaluate lim_(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

Evaluate lim_(nrarroo) [1/n + 1/(n+1) + 1/(n+2) +…+ 1/(3n)]

Evaluate lim_(nrarroo) n [1/(n^2+1^2) + 1/(n^2+2^2) + 1/(n^2+3^2) +…+ 1/(2n^2)]

Evaluate: lim_ (n rarr oo) (1) / (n ^ (2)) sum_ (k = 0) ^ (n-1) [k int_ (k) ^ (k + 1) sqrt ((xk) (k + 1-x)) dx]

lim_(nrarroo) [1/(1+n)+(1)/(2+n)+(1)/(3+n)+"....."+(1)/(5n)]

S= lim_(nrarroo) sum_(k=0)^n 1/sqrt(n^2 + k ^2)

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k ^ (2)) / (2 ^ (k))

MAHAVEER PUBLICATION-DEFINITE INTEGRAL-QUESTION BANK
  1. Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

    Text Solution

    |

  2. lim(n->oo)1/n[tan (pi/(4n))+tan((2 pi)/(4n))+...tan((npi)/(4n))]

    Text Solution

    |

  3. Evaluate lim(nrarroo) [1/(n+k) + 1/(n+2k) + 1/(n+3k) +…+ 1/(n+nk)]

    Text Solution

    |

  4. Evaluate lim(nrarroo) n [1/(n^2+1^2) + 1/(n^2+2^2) + 1/(n^2+3^2) +…+ 1...

    Text Solution

    |

  5. lim(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]

    Text Solution

    |

  6. Evaluate lim(nrarroo) [1/(n+1) + 1/(n+2) + 1/(n+3) +…+ 1/(2n)]

    Text Solution

    |

  7. Evaluate lim(nrarroo) [(1^6 + 2^6 + 3^6…..+n^6)/n^7]

    Text Solution

    |

  8. Choose the correct Answer of the Following Questions : int(pi/4)^(pi/2...

    Text Solution

    |

  9. Choose the correct Answer of the Following Questions : int0^1 1/(2x-3)...

    Text Solution

    |

  10. Choose the correct Answer of the Following Questions : int1^4 x^(-1/2)...

    Text Solution

    |

  11. Choose the correct Answer of the Following Questions : int0^pi (1/(1+s...

    Text Solution

    |

  12. Choose the correct Answer of the Following Questions : int0^(2pi) sqrt...

    Text Solution

    |

  13. Choose the correct Answer of the Following Questions : int0^(pi/2) sqr...

    Text Solution

    |

  14. Choose the correct Answer of the Following Questions : int0^(pi/2) dx ...

    Text Solution

    |

  15. Choose the correct Answer of the Following Questions : int0^e logx dx=

    Text Solution

    |

  16. Choose the correct Answer of the Following Questions : int0^sqrt3 dx/(...

    Text Solution

    |

  17. Choose the correct Answer of the Following Questions : int0^(pi/2) (si...

    Text Solution

    |

  18. Choose the correct Answer of the Following Questions : int0^(pi/2) dx/...

    Text Solution

    |

  19. Choose the correct Answer of the Following Questions : int0^pi dx/(a +...

    Text Solution

    |

  20. Choose the correct Answer of the Following Questions : int0^(pi/2) (si...

    Text Solution

    |