Home
Class 12
MATHS
If the value of lim(n rarr oo)(n^(-3/2))...

If the value of `lim_(n rarr oo)(n^(-3/2)) sum_(j=1)^(6n) sqrt(j)` is equal to `sqrt(N)`, then the value of `N/(12)` is __________

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo)2^(1/n)

The value of lim_(n->oo) n^(1/n)

lim_(n rarr oo)3^(1/n) equals

The value of lim_(nto oo)(1)/(2) sum_(r-1)^(n) ((r)/(n+r)) is equal to

lim_(nto oo) (1)/(n^(2))sum_(r=1)^(n) re^(r//n)=

The value of lim_(n to oo)(1)/(n).sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2))) is equal to

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

The value of lim_(n to oo) sum_(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -

Evaluate ("lim")_(n rarr oo)sum_(k=1)^nk/(n^2+k^2)

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

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If f is continuous function and F(x)=int0^x((2t+3)*intt^2f(u)d u)dt , ...

    Text Solution

    |

  2. Let f^(prime)(x)=(192 x^3)/(2+sin^4pix)fora l lx in Rw i t hf(1/2)=0....

    Text Solution

    |

  3. If the value of lim(n rarr oo)(n^(-3/2)) sum(j=1)^(6n) sqrt(j) is equa...

    Text Solution

    |

  4. f(x)=int0^x f(t) dt=x+intx^1 tf(t)dt, then the value of f(1) is

    Text Solution

    |

  5. If I=int0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1...

    Text Solution

    |

  6. The value of int1^a[x]f^(prime)(x)dx ,where a >1, and [x] denotes the ...

    Text Solution

    |

  7. The value of int(0)^(x)[cost]dt, x epsilon[(4n+1)(pi)/2,(4n+3)(pi)/2] ...

    Text Solution

    |

  8. Let f(x)=min({x},{-x)AA epsilonR, where {.} denotes the fractional par...

    Text Solution

    |

  9. int1^4 (x-0.4)dx equals (where {x} is a fractional part of (x)

    Text Solution

    |

  10. The value of the definite integral int2^4(x(3-x)(4+x)(6-x)(10-x)+sinx...

    Text Solution

    |

  11. Ifx=intc^(sint)sin^(-1)z dz ,y=intk^(sqrt(t))(sinz^2)/zdz ,t h e n(dy)...

    Text Solution

    |

  12. If f(x)=int0^1(dt)/(1+|x-t|) ,then f^(prime)(1/2) is equal to (a)0 ...

    Text Solution

    |

  13. Let f(x)=int2^x (dt)/sqrt(1+t^4) and g be the inverse of f. Then, the...

    Text Solution

    |

  14. STATEMENT 1: int0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT ...

    Text Solution

    |

  15. STATEMENT 1:f(x) is symmetrical about x=2 . Then int(2-a)^(2+a)f(x)dx ...

    Text Solution

    |

  16. If f(x)=cosx-int0^x(x-t)f(t)dt ,t h e nf^(primeprime)(x)+f(x) is equa...

    Text Solution

    |

  17. If f^(prime)(x)=f(x)+int0^1f(x)dx ,gi v e nf(0)=1, then the value of ...

    Text Solution

    |

  18. STATEMENT 1: int0^pisqrt(1-sin^2x) dx=0 , STATEMENT 2: int0^picosx dx...

    Text Solution

    |

  19. STATEMENT 1: Let m be any integer. Then the value of Im=int0^pi(sin2m ...

    Text Solution

    |

  20. STATEMENT 1: The value of int0^(2pi)cos^(99)x dx is 0 STATEMENT 2: in...

    Text Solution

    |