Home
Class 12
MATHS
Evaluate : underset(nrarrinfty)lim [1/...

Evaluate :
`underset(nrarrinfty)lim [1/n + 1/(n+1)+ 1/(n+2) + .... +1/(4n)]`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate: underset(nrarrinfty)lim (1/(n+1)+1/(n+2)+....+1/(2n))

Let f(x) be a continous function defined on the closed interval [a,b] then underset(nrarrinfty)lim sumunderset(r=1)overset(n) (1/n)f(r/n)=int_0^1f(x)dx The value of underset(nrarrinfty)lim (1/n) [(1/(n+1))+2/(n+2)+......+1/2} is

Evaluate : underset(nrarrinfty)lim((1^m+2^m+...+n^m)/n^(m+1))

Evaluate (with the help of definite integral) underset(nrarr infty) It ((1)/(n+1) + (1)/(n+2) + ….. + (1)/(6n))

Evaluate: underset(nrarrinfty)lim[(1/n^2sec^2(1/(n^2))+2/n^2sec^2((4)/(n^2))....+1/nsec^2(1)]

Evaluate : underset(n to oo)lim(n)/((n!)^((1)/(n)))

Evaluate: underset(n rarr infty)lim 1/n[sin (pi/(2n)) +sin((2pi)/(2n))+sin ((3pi)/(2n))+......+sin((npi)/(2n))]

Evaluate : underset(n to oo) lim[(1)/(n)+(1)/(n+1)+(1)/(n+2)+…+(1)/(4n)]

Evaluate : underset(n to oo) lim[(1)/(n)+(1)/(n+1)+(1)/(n+2)+…+(1)/(3n)]

Evaluate : underset(nrarroo)"lim"(1+sqrt(n))/(1-sqrt(n))

UNITED BOOK HOUSE-SET 7-EXERCISE
  1. Find the equation of the line passing through the point(1,2,3) and par...

    Text Solution

    |

  2. Two unbiased dice are thrown. Find the probability that the sum of the...

    Text Solution

    |

  3. M and E are two equally strong football teams. Findthe probability tha...

    Text Solution

    |

  4. Solve: tan^(-1)sqrt(x(x+1)+sin^(-1)sqrt(1+x+x^2) = pi/2

    Text Solution

    |

  5. If A = [[1,-1],[2,-1]],B = [[a,1],[b,-1]] and (A+B)^2 = A^2+B^2 find a...

    Text Solution

    |

  6. Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,ga...

    Text Solution

    |

  7. Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1...

    Text Solution

    |

  8. If y = tan^(-1) ((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) ...

    Text Solution

    |

  9. Evaluate: int (cos x-sinx )/sqrt(sin 2x)dx

    Text Solution

    |

  10. Evaluate: int x sqrt((a^2-x^2)/(a^2+x^2))dx

    Text Solution

    |

  11. Solve: cos^(-1)((dy)/(dx)) = x+y.

    Text Solution

    |

  12. solve : sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a^2+x^2)-x

    Text Solution

    |

  13. Find a unit vector in direction parallel to the sum of the vectors vec...

    Text Solution

    |

  14. answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...

    Text Solution

    |

  15. Evaluate: overset(1)underset(0)int (tan^(-1)x)/(1+x^2)dx.

    Text Solution

    |

  16. Evaluate : underset(nrarrinfty)lim [1/n + 1/(n+1)+ 1/(n+2) + .... +1...

    Text Solution

    |

  17. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

    Text Solution

    |

  18. 5% of the electric valves are defective. 10 valves are drawn at random...

    Text Solution

    |

  19. Find the area of the region bounded by the parabola y = x^(2) and y = ...

    Text Solution

    |

  20. Show that the pair of lines whose direction cosines are given by 3 lm-...

    Text Solution

    |