Home
Class 12
MATHS
lim(nrarroo) 1/n sum(j=0)^n((2j-1)+8n)/(...

`lim_(nrarroo) 1/n sum_(j=0)^n((2j-1)+8n)/((2j-1)+4n)`

A

`5+log_(e ) ((3)/(2))`

B

`2- log_(e ) ((2)/(3))`

C

`3+2 log_(e ) ((2)/(3))`

D

`1+2 log_(e ) ((3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|30 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

lim_(nrarroo) sum_(r=0)^(n-1) (1)/(sqrt(n^(2)-r^(2)))

alpha=lim_(n rarr oo)sum_(i=1)^(n)sum_(j=1)^(i)(j)/(n^(3)), then [(1)/(alpha)-1] is

S= lim_(nrarroo) sum_(k=0)^n 1/sqrt(n^2 + k ^2)

lim_(nrarroo) sum_(k=1)^(n)(k^(1//a{n^(a-(1)/(a))+k^(a-(1)/(a))}))/(n^(a+1)) is equal to

If A=[a_(ij)]_(n xx n,) where a_(ij)=i^(100)+j^(100) then lim_(n rarr oo)((sum_(i=1)^(n)a_(ij))/(n^(101))) equals

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

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-A)
  1. Let y = y (x) be the solution of the differential equation xdy = (y +...

    Text Solution

    |

  2. If the mean and variance of the following data: 6, 10, 7, 13, a, 12, b...

    Text Solution

    |

  3. lim(nrarroo) 1/n sum(j=0)^n((2j-1)+8n)/((2j-1)+4n)

    Text Solution

    |

  4. Let vec(a)= hat(i) +hat(j)+2hat(k) and vec(b)= -hat(i) +2hat(j) +3hat(...

    Text Solution

    |

  5. The value of the definite integral int(-(pi)/(4))^((pi)/(4)) (dx)/((1+...

    Text Solution

    |

  6. Let C be the set of all complex numbers. Let S(i) = {z in C||z-3-2i|^(...

    Text Solution

    |

  7. If the area of the bounded region R= {(x,y): "max" {0, log(e)x} le y l...

    Text Solution

    |

  8. A ray of light through (2,1) is reflected at a point P on the y-axis a...

    Text Solution

    |

  9. If the coefficients of x^(7) in (x^(2)+(1)/(bx))^(11) and x^(-7) in (x...

    Text Solution

    |

  10. The compound statement (P vv Q) ^^ (~P) rArr Q is equivalent to

    Text Solution

    |

  11. If sin theta+ cos theta= (1)/(2), then 16(sin (2theta)+ cos (4theta) +...

    Text Solution

    |

  12. Let A= [(1,2),(-1,4)]. If A^(-1)= alpha I +beta A, alpha, beta in R, I...

    Text Solution

    |

  13. Let f: (-(pi)/(4), (pi)/(4)) rarr R be defined as f(x)= {((1+|sin x|...

    Text Solution

    |

  14. Let y= y(x) be solution of the differential equation log(e)((dy)/(dx))...

    Text Solution

    |

  15. Let the plane passing through the point (-1,0,-2) and perpendicular to...

    Text Solution

    |

  16. Two tangents are drawn from the point P(-1,1) to the circle x^(2)+y^(2...

    Text Solution

    |

  17. Let f: R rarr R be a function such that f(2)=4 and f'(2)=1. Then, the ...

    Text Solution

    |

  18. Let P and Q be two distinct points on a circle which has center at C(2...

    Text Solution

    |

  19. Let alpha, beta be two roots of the equation x^(2)+(20)^(1//4)x+ (5)^(...

    Text Solution

    |

  20. The probability that a randomly selected 2-digit number belongs to the...

    Text Solution

    |