Home
Class 12
MATHS
The value of lim(n->oo)sum(k=1)^n(6^k)/(...

The value of `lim_(n->oo)sum_(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1))` is equal to

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n rarr oo)sum_(k=1)^(n)(6^(k))/((3^(k)-2^(k))(3^(k+1)-2^(k+1))) is equal to

Find the value of lim_(n rarr oo)sum_(k=1)^(n)((k)/(n^(2)+k))

The value of lim_(n rarr oo)sum_(k=1)^(n)log(1+(k)/(n))^((1)/(n)) ,is

The value of lim _( x to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

The value of Lim_(n rarr oo)sum_(k=1)^(n)(n-k)/(n^(2))cos((4k)/n) equals

Evaluate lim_(n rarr oo)sum_(k=1)^(n)quad (k)/(n^(2)+k^(2))

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k) / (n ^ (2) + k ^ (2)) is equals to

The value of int_(0)^(1)lim_(n rarr oo)sum_(k=0)^(n)(x^(k+2)2^(k))/(k!)dx is:

The vlaue of lim_(n rarroo) sum_(k=1)^n frac{n^3}{(n^2+k^2)(n^2+3k^2) is

ARIHANT MATHS-LIMITS-Exercise (Single Integer Answer Type Questions)
  1. Let f(x)=[sqrt(n)+1/2] where [.] denotes greatest integer function AA,...

    Text Solution

    |

  2. If the arithmetic mean of the product of all pairs of positive intege...

    Text Solution

    |

  3. The value of lim(n->oo)sum(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1)) is ...

    Text Solution

    |

  4. The value of lim(xto (pi)/2) sqrt((tanx-sin{tan^(-1)(tanx)})/(tanx+cos...

    Text Solution

    |

  5. The figure shows two regions in the first quadrant. P(t, sin t^2) the ...

    Text Solution

    |

  6. If the two AB:(int(0)^(2t)((sinx)/x+1)dx)x+y=3t and AC:2tx+y=0 interse...

    Text Solution

    |

  7. Consider a parabola y=(x^(2))/4 and the point F(0,1). Let A(1)(x(1),y...

    Text Solution

    |

  8. If L=lim(xto(pi^(+))/2)(costan^(-1)(tanx))/(x-pi//2) then cos(2piL) is

    Text Solution

    |

  9. Number of solutions of the equation cosectheta=k in [0,pi] where k=lim...

    Text Solution

    |

  10. If C satisfies the equation lim(xto oo)((x+c)/(x-c))^(x)=4 then |(e^(c...

    Text Solution

    |

  11. If lim(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+|x|^(3)+5)/(|x|^(3)+|x^(2)|+|x...

    Text Solution

    |

  12. If f(x)=lim(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))],then f(1) is …….

    Text Solution

    |

  13. The value of lim(nto oo)(1/(sqrt(n^(2)))+1/(sqrt(n^(2)+1))+…..+1/(sqrt...

    Text Solution

    |

  14. If l=lim(xto1^(+))2^(-2^(1/(1-x))) and m=lim(xto1^(+))(x sin (x-[x]))/...

    Text Solution

    |

  15. The value of lim(xto 0)[(sinx.tanx)/(x^(2))] is …….. (where [.] deno...

    Text Solution

    |

  16. If lim+(n to oo)sum(r=1)^(n)(kr)/(1xx3xx5xx….xx(2r-1)xx(2r+1))=1 then ...

    Text Solution

    |

  17. If f(x)=lim(n to oo)sin^(4)x+1/4sin^(4)2x+..=1/(4^(n)).sin^(4)(2^(n)x)...

    Text Solution

    |

  18. If f(x+y+z)=f(x)+f(y)+f(z) with f(1)=1 and f(2)=2 and x,y, z epsilonR ...

    Text Solution

    |

  19. If lim(xto oo)(n.3^(n))/(n.(x-1)^(n)+n.3^(n+1)-3^(n))=1/3, the number ...

    Text Solution

    |

  20. The value of lim(x->oo)(((x-1)(x-2)(x+3)(x+10)(x+15))^(1/5)-x) is .....

    Text Solution

    |