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

Evaluate :
`underset(nrarrinfty)Lt[(1)/(sqrt(n^2 - 1^2)) + 1/(sqrt(n^2-2^2)) +1/(sqrt(n^2 - 3^2))+....+ 1/(sqrt(n^2 - (n-1)^2))]`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate : underset(xrarr0)"lim"(1)/(x) .

Evaluate : underset (nrarrinfty)lim underset(r=0)overset(n-1)sum 1/sqrt(4n^2-r^2)

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

Evaluate : underset(xrarrpi)"lim"(sin3x)/(sin2x)

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

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

Evaluate : underset(xrarr0)"lim"(tanx^(@))/(x)

Evaluate : underset(xrarroo)"lim"(sqrt(x^(2)+ax)-x).

Evaluate : underset(xrarr-oo)"lim"(1+(2)/(x^(2))) .

Evaluate : underset(xrarr0)"lim"(sin^(-1)x)/(2x)

UNITED BOOK HOUSE-SET 18-EXERCISE
  1. The temperature T of a cooling object drops at a rate proportional to ...

    Text Solution

    |

  2. If veca,vecb are unit vectors and theta be the angle between them show...

    Text Solution

    |

  3. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  4. Evaluate : underset(nrarrinfty)Lt[(1)/(sqrt(n^2 - 1^2)) + 1/(sqrt(n^...

    Text Solution

    |

  5. Evaluate : overset(log5)underset(0)int (e^xsqrt(e^x-1))/(e^x + 3 ) dx

    Text Solution

    |

  6. A random variable X has the following probability function: Calculate...

    Text Solution

    |

  7. A random variable X has the following probability function: Find P(x ...

    Text Solution

    |

  8. A random varible x has the following probability function: the va...

    Text Solution

    |

  9. Six coins are tossed at a time. Find the probability of occring not mo...

    Text Solution

    |

  10. In a certain culture the number of bacteria at any instant increases a...

    Text Solution

    |

  11. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

    Text Solution

    |

  12. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  13. choose the correct alternative :(ii) state which of the foll. Is the v...

    Text Solution

    |

  14. If A^t is the transporse of a square matrix A, then,

    Text Solution

    |

  15. If d/dx ((1+x^2 + x^4)/(1+x+x^2)) = ax + b , then the values of a and ...

    Text Solution

    |

  16. The rate average change of the function y = x^2 between x = 1 and x = ...

    Text Solution

    |

  17. veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perp...

    Text Solution

    |

  18. The straihgt line (x-4)/(3) = (y-2)/(1) = (z-1)/(0) is

    Text Solution

    |

  19. A and B give examination for two empty posts. If the probability of th...

    Text Solution

    |

  20. The variance of a binomial distribution with parameters n and p is-

    Text Solution

    |