Home
Class 12
MATHS
lim(n rarr oo)(1+2^(4)+3^(4)+...+n^(4))/...

`lim_(n rarr oo)(1+2^(4)+3^(4)+...+n^(4))/(n^(5))`

Text Solution

Verified by Experts

1/k log(1+k)
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

lim_(n rarr oo)(2^(3n))/(3^(2n))=

Evaluate the following limit: (lim)_(n rarr oo)(1^(3)+2^(3)+n^(3))/((n-1)^(4))

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

The value of lim_(n rarr oo)((1^(1)+2^(2)+...+n^(2))(1^(3)+2^(3)+...+n^(3))(1^(4)+2^(4)+...+n^(4)))/((1^(5)+2^(5)+...+n^(5))^(2)

" If "lim_(n rarr oo)((1^(2)+2^(2)+......+n^(2))(1^(4)+2^(4)+...+n^(4)))/((1^7+2^7+......+n^7))=(K+1)/(15);" then "K" is equal to "

lim_(n rarr oo)((1^(4))/(1^(5)+n^(5))+(2^(4))/(2^(5)+n^(5))+(3^(4))/(3^(5)+n^(5))+--+(n^(4))/(n^(5)+n^(5)))

Evaluate: lim_(n rarr oo)((1^(2))/(n^(3))+(2^(2))/(n^(3))+(3^(2))/(n^(4))+...+(1)/(n))

lm_ (n rarr oo) ((1 ^ (3)) / (n ^ (4)) + (2 ^ (4)) / (n ^ (4)) + (3 ^ (3)) / (n ^ (4)) + ...... + (n ^ (3)) / (n ^ (4)))

MAHAVEER PUBLICATION-DEFINITE INTEGRAL-QUESTION BANK
  1. int1^2 x/((x+1)(x+2))dx

    Text Solution

    |

  2. Find the Definite Integrals : int1^2 e^x((x-1)/x^2) dx

    Text Solution

    |

  3. int0^1 sqrt((1-x)/(1+x)) dx

    Text Solution

    |

  4. Find the Definite Integrals : int0^1 x^2e^(x^3) dx

    Text Solution

    |

  5. Evaluate the following integral: int0^1(tan^(-1)x)/(1+x^2)dx

    Text Solution

    |

  6. int0^(pi/2) sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx

    Text Solution

    |

  7. Using the properties of definite integral Evaluate : int0^(pi/2) sinx ...

    Text Solution

    |

  8. Using the properties of definite integral Evaluate : int(pi/6)^(pi/3) ...

    Text Solution

    |

  9. Using the properties of definite integral Evaluate : int0^(pi) x /(1 +...

    Text Solution

    |

  10. By using the properties of definite integrals, evaluate the integra...

    Text Solution

    |

  11. Using the properties of definite integral Evaluate : int0^3 x sqrt(3-x...

    Text Solution

    |

  12. By using the properties of definite integrals, evaluate the integra...

    Text Solution

    |

  13. By using the properties of definite integrals, evaluate the integra...

    Text Solution

    |

  14. Evaluate int0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

    Text Solution

    |

  15. Using the properties of definite integral Evaluate : int0^(pi) (xtanx)...

    Text Solution

    |

  16. Evaluate : int(0)^(pi) (x sin x )/(1 + sin x ) dx

    Text Solution

    |

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

    Text Solution

    |

  18. lim(n rarr oo)(1+2^(4)+3^(4)+...+n^(4))/(n^(5))

    Text Solution

    |

  19. underset(nrarroo)lim[(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+....

    Text Solution

    |

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

    Text Solution

    |