Home
Class 12
MATHS
lim(n rarr oo)n[(1)/((3n^2+8n+4))+(1)/(3...

`lim_(n rarr oo)n[(1)/((3n^2+8n+4))+(1)/(3n^2+16n+16)+.....+1/(15n^2)]=`

A

`1/2log""9/5`

B

`1/4log""9/5`

C

`2 log""9/5`

D

`1/4log""5/9`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos
  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

Similar Questions

Explore conceptually related problems

Lt_(n rarr oo)[(1)/(3n+1) + (1)/(3n+2)+…+(1)/(4n)]

Lt_(n rarr oo)[(1)/(n+1) + (1)/(n+2)+..(1)/(2n)]

{:(" "Lt),(n rarr oo):} [(1)/(1-n^(2))+(2)/(1-n^(2))+...+(n)/(1-n^(2))]=

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER 2018-MATHEMATICS
  1. int (2x^2-1+x^2 sqrt(x^2+4))/(x^2(x^2+4))dx

    Text Solution

    |

  2. For n ge 2, let In= int0^(pi//4) tan^n xdx and Fn=In+I(n-2). Then Fn-...

    Text Solution

    |

  3. lim(n rarr oo)n[(1)/((3n^2+8n+4))+(1)/(3n^2+16n+16)+.....+1/(15n^2)]=

    Text Solution

    |

  4. int0^3|x^2-3x+2|dx

    Text Solution

    |

  5. OABC is a unit square where O is origin and B = (1,1) . The curves y^2...

    Text Solution

    |

  6. The differential equation correspoinding to the family of parabola y^2...

    Text Solution

    |

  7. The general solution of (dy)/(dx)+y tan x =2x+x^2 tan x

    Text Solution

    |

  8. If g(x)=x^(2)+x-2 and 1/2 gof (x)=2x^(2)-5x+2, then which is f(x)

    Text Solution

    |

  9. If f:RtoA defined by f(x)=1/(x^(2)+2x+2),AAx inR is surjective, then A...

    Text Solution

    |

  10. If 2(4^(2n+1))+3^(3n+1) is divisible by k, kgt1 for all ninN, then the...

    Text Solution

    |

  11. If A=[[0,-1],[1,0]], then the incorrect option among the following is

    Text Solution

    |

  12. If ane1,bne-1,cne-1 and the system of equations, x=a(y+z),y=b(z+x),z=c...

    Text Solution

    |

  13. The rank of the following matrix A is A=[[1,-2,3,-4],[2,9,4,5],[4,5,...

    Text Solution

    |

  14. If a complex number z satisfies |z|^(2)+1=|z^(2)-1|, then the locus of...

    Text Solution

    |

  15. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

    Text Solution

    |

  16. If a, b, c are non-zero real number with cne1 such that a^(2)+b^(2)+c^...

    Text Solution

    |

  17. For ninZ^(+), (1+sintheta+icostheta)^(n)+(1+sintheta-icostheta)^(n)=

    Text Solution

    |

  18. If the quadratic equation formed by eliminating x from x^(2)+alphax+be...

    Text Solution

    |

  19. If x is real, then the range of (x^(2)+2x+1)/(x^(2)+2x+7) is

    Text Solution

    |

  20. If [x] denotes the greatest integer not exceeding x, then the values o...

    Text Solution

    |