Home
Class 12
MATHS
Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1...

Evaluate: `("lim")_(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/nsec^2 1]`

A

`tan 1`

B

`tan 1`

C

`1/2 sec 1`

D

`1/2 cosec 1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) Numerical Answer Type Questions|19 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(n rarr oo)[(1)/(n^(2))sec^(2)(1)/(n^(2))+2/n^(2)sec^(2)(4)/(n^(2))+...+(1)/(n)sec^(2)1]]

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

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)]

lim_(n rarr oo)[(1)/(n^(2))sec^(2)((pi)/(3n^(2)))+(2)/(n^(2))sec^ (2)((4 pi)/(3n^(2)))+(3)/(n^(2))sec^(2)((9 pi)/(3n^(2)))+. .....+(1)/(n)sec^(2)((pi)/(3))]

lim _(n to oo) ( 1/(n^(2)+1^(2)) + 1/(n^(2)+2^(2)) +...1/(2n^(2))) equals

lim_(n to oo) [ 1^2/n^3 + (2^2)/(n^3) + …+ ((n-1)^2)/(n^3)]

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

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. If int(0)^(pi) x f (sin x) dx = A int (0)^(pi//2) f(sin x) dx , then A...

    Text Solution

    |

  2. Iff(x)=(e^x)/(1+e^x),I1=int(f(-a))^(f(a))xg(x(1-x)dx ,a n d I2=int(f(...

    Text Solution

    |

  3. Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/...

    Text Solution

    |

  4. Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1...

    Text Solution

    |

  5. If I(1)=overset(1)underset(0)int 2^(x^(2)) dx, I(2)=overset(1)underset...

    Text Solution

    |

  6. The value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x)dx where agt 0, is

    Text Solution

    |

  7. The value of the integral int3^6 sqrtx/(sqrt(9-x)+sqrtx)dx is

    Text Solution

    |

  8. overset(-pi//2)underset(-3pi//2)int{(x+pi)^(3)+cos^(2)(x+3pi)}dx, is

    Text Solution

    |

  9. The integral underset(0)overset(pi)int x f(sinx )dx is equal to

    Text Solution

    |

  10. The value of int(1)^(a) [x] f'(x) dx, a gt 1, where [x] denotes the gr...

    Text Solution

    |

  11. Let F (x) = f(x) + f ((1)/(x)), where f (x) = int (1) ^(x ) (log t)/(1...

    Text Solution

    |

  12. The solution for x of the equation int (sqrt2) ^(x) (dt)/( sqrt(t ^(...

    Text Solution

    |

  13. Let I=overset(1)underset(0)int (sin x)/(sqrt(x))dx andI=overset(1)unde...

    Text Solution

    |

  14. int(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, ...

    Text Solution

    |

  15. Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x ...

    Text Solution

    |

  16. The value of int(8 log(1+x))/(1+x^(2)) dx is

    Text Solution

    |

  17. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  18. Let [] denote the greatest integet function then the value int0^1.5 x[...

    Text Solution

    |

  19. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

    Text Solution

    |

  20. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |