Home
Class 12
MATHS
lim(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+...

`lim_(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =`

A

log2

B

log 3

C

log 5

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo) [1/(n+1)+1/(n+2)+…….+1/(2n)]=

lim_(x rarr oo) (1+2/n)^(2n)=

lim_(n rarr oo) [1/(2n+1)+1/(2n+2)+…….+1/(2n+n)]=

lim_(n rarr oo) 1/2 [(n+1)(n+2)…….2n]^(1/n) =

lim_(n rarr oo) (1-n^(2))/(sum n)=

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo)[(1+1/n)(1+2/n)…..2]^(1/n) =

lim_(n rarr oo) ((1)/(1.2) + (1)/(2.3) + (1)/(3.4) +…..+ (1)/(n(n+1))) is :

lim_(n rarr oo) sum_(r=0)^(n-1) 1/(n+r) =

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. int0^(10) |x(x-1)(x-2)| dx is equal to

    Text Solution

    |

  2. If I = int0^(pi/4) log (1+ tan x) dx, then I =

    Text Solution

    |

  3. lim(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =

    Text Solution

    |

  4. If I = int(-pi)^(pi) (e^(sinx))/(e^(sinx)-e^(-sinx)) dx then I =

    Text Solution

    |

  5. lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

    Text Solution

    |

  6. The value of int(-2)^(2) { p log ((1+x)/(1-x))+ q log ((1-x)/(1+x))^(...

    Text Solution

    |

  7. inta^(b) |x|/x dx, (Where 0 lt a lt b) =

    Text Solution

    |

  8. The area of the region bounded by the curve y^(2)=8x and the line y=2x...

    Text Solution

    |

  9. The area bounded by y = 4x-x^(2) and x-axis is

    Text Solution

    |

  10. int(1)^(3)(x-1)(x-2)(x-3)dx=

    Text Solution

    |

  11. The area bounded by x-axis and the curve y=4x-x^(2)-3 is

    Text Solution

    |

  12. Area bounded by y = log x, the x-axis and the line x=2 is

    Text Solution

    |

  13. The area enclosed between the parabolas y^(2) = 4x and x^(2)=4y is

    Text Solution

    |

  14. The area bounded by the curve y = log x, the x-axis and the line x=e i...

    Text Solution

    |

  15. The area enclosed between the curves y = x^(3) and y=sqrtx is, (in squ...

    Text Solution

    |

  16. The area enclosed between the parabola y=x^(2)-x+2 and the line y=x+2 ...

    Text Solution

    |

  17. The area bounded by the curve y=2x-x^2 and the st.line y=-x is given b...

    Text Solution

    |

  18. The area of the region bounded by the curves : y=|x-2|, x=1,x=3 and t...

    Text Solution

    |

  19. Let f(x) be a non-negative continuous function such that the area boun...

    Text Solution

    |

  20. The area enclosed between the curve y=loge(x+e) and the coordinate axe...

    Text Solution

    |