Home
Class 12
MATHS
The value of underset(n rarr oo)("lim") ...

The value of `underset(n rarr oo)("lim") (1)/(n) {"sec"^(2) (pi)/(4n) + "sec"^(2) (2pi)/(4n) + …..+ "sec"^(2) (n pi)/(4n)}` is

A

`log_(e )2`

B

`(pi)/(2)`

C

`(4)/(pi)`

D

e

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

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

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

The value of underset(n to oo)lim((n!)^((1)/(n)))/(n) is -

The value of lim_(ntooo)(1)/(n)[sec^2""(pi)/(4n)+sec^2""(2pi)/(4n)+....+sec^2""(npi)/(4n)] is

Evaluate : underset(nrarroo)"lim"(n^(4)-n^(2)+6n+1)/(2n^(4)-5n+4)

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

Evaluate : underset(nrarroo)"lim"(3n^(2)-4n+6)/(n^(2)+6n-7)

Evaluate : underset(n to oo)lim [((2n)!)/(n!n^(n))]^((1)/(n))

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

underset(nrarroo)"lim"(-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to

Evaluate : underset(n to oo)lim(1)/(n)["tan"(pi)/(4n)+"tan"(2pi)/(4n)+"tan"(3pi)/(4n)+…+ "tan"(npi)/(4n)]

The value of underset(nrarrinfty)lim1/n^2{sin^3(pi)/(4n)+2sin^3 (2pi)/(4n)+...+nsin^3(npi)/(4n)} is equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. Let I= underset(pi /4)overset(pi /3)int (sin x)/(x) dx. Then

    Text Solution

    |

  2. The value of I= underset(pi 2)overset(5pi//2)int (e^(tan^(-1) (sin x))...

    Text Solution

    |

  3. The value of underset(n rarr oo)("lim") (1)/(n) {"sec"^(2) (pi)/(4n) ...

    Text Solution

    |

  4. The differential equation representing the family of curves y^(2)= 2d(...

    Text Solution

    |

  5. Let y(x) be a solution of (1-x^(2)) (dy)/(dx) + 2xy -4x^(2)= 0 and y(0...

    Text Solution

    |

  6. The law of motion of a body moving along a straight line is x= (1)/(2)...

    Text Solution

    |

  7. Find the equation of tangents at the point (1,2) of y= x^(2)

    Text Solution

    |

  8. Given that n numbers of A.Ms are inserted between two sets of numbers ...

    Text Solution

    |

  9. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then the value of ...

    Text Solution

    |

  10. If Z(r )= "sin" (2pi r)/(11)- "I cos" (2pi r)/(11) then underset(r = 0...

    Text Solution

    |

  11. If z(1) and z(2) be two non zero complex numbers such that (z(1))/(z(2...

    Text Solution

    |

  12. If b(1) b(2)= 2(c(1) +c(2))and b(1), b(2), c(1), c(2) are all real num...

    Text Solution

    |

  13. The number of selection of n objects from 2n objects of which n are id...

    Text Solution

    |

  14. Let A be the centre of the circle x^(2) + y^(2)-2x-4y -20 = 0. Let B(1...

    Text Solution

    |

  15. Let f(x) {(-2 sin x,"if " x le - (pi)/(2)),(A sin x + B," if " -(pi)/(...

    Text Solution

    |

  16. The normals to the curve y= x^(2)-x +1, drawn at the points with the a...

    Text Solution

    |

  17. The equation x log x= 3- x

    Text Solution

    |

  18. Consider the parabola y^(2)= 4x. Let P and Q be points on the parabola...

    Text Solution

    |

  19. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  20. For 0 le p le 1 and for any positive a, b, let I(p)= (a + b)^(p), J(p)...

    Text Solution

    |