Home
Class 12
MATHS
underset(n to oo)lim""underset(k=1)overs...

`underset(n to oo)lim""underset(k=1)overset(n)sum(k^(1//a){n^(a-(1)/(a))+K^(a-(1)/(a))})/(n^(a+1))`=

A

1

B

2

C

3

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO. 2 (GEOMETRIES)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

  • UNIT TEST PAPER NO. 6 (THREE - DIMENSIONAL GEOMETRY, VECTORS & PROBABILITY)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

Similar Questions

Explore conceptually related problems

underset(n to oo)lim""((n!)^(1//n))/(n) equals :

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

For 0ltphilepi//2 , if : x=underset(n=0)overset(oo)sumcos^(2n)phi,y=underset(n=0)overset(oo)sumsin^(2n)phi , z=underset(n=0)overset(oo)sumcos^(2n)sin^(2n)phi , then :

Let S_n=underset(k=1)overset(4n)Sigma (-1)^((k(k+1))/2)k^2 .Then S_n can take value (s)

Lim_(nto oo)(3^(n)+4^(n))^((1)/(n))=

underset(n to oo)lim 1/n [ tan pi/(4n) + tan (2pi)/(4n) + tan (3pi)/(4n) + …. + tan(npi)/(4n)] =

lim_(n rarr oo) sum_(r=1)^(n) r/n^(2) sec^(2) (r^(2)/n^(2)) =

MODERN PUBLICATION-UNIT TEST PAPER NO. 5 (CALCULUS)-Select the correct answer
  1. The value of int (cos^3x+cos^5)/(sin^2x+sin^5x)dx

    Text Solution

    |

  2. underset(n to oo)lim""((n!)^(1//n))/(n) equals :

    Text Solution

    |

  3. The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in...

    Text Solution

    |

  4. Evaluate the integral: int e^x (sinx+cosx)dx

    Text Solution

    |

  5. The value of lim(xto1^(+))(int(1)^(x)|t-1|dt)/(sin(x-1)) is

    Text Solution

    |

  6. The domain of the derivative of the function: f(x)={{:(,tan^(-1)x,|x| ...

    Text Solution

    |

  7. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |

  8. Find which function does not obey Mean Value Theorem in [0,1] :

    Text Solution

    |

  9. Let f(x)={{:(x+2","-1lexlt0),(1","x=0),((x)/(2)","0lt x le1):}. Then...

    Text Solution

    |

  10. int(dx)/(x(x^n+1)) is equal to

    Text Solution

    |

  11. If l^r(x) means logloglog.......x being repeated r times, then int [ (...

    Text Solution

    |

  12. If f(x)=(x+2)/(2x+3), then int sqrt((f(x))/(x^(2)))dx equals : (1)/(...

    Text Solution

    |

  13. If int (sin x)/(sin (x-a))dx =Ax+B log sin (x-alpha)+C, then the valu...

    Text Solution

    |

  14. The integral int[-1/2]^[1/2]([x]+log([1+x]/[1-x])).dx equals

    Text Solution

    |

  15. If int(0) ^(x) f (t) dt = x + int (x ) ^(1) t f (t) dt, then the v...

    Text Solution

    |

  16. underset(n to 0)lim""(1)/(n)(underset(y)overset( c )int e^(sin^(2)t)dt...

    Text Solution

    |

  17. The function |x^2 - 3x+2| + cos |x| is not differentiableat x=

    Text Solution

    |

  18. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  19. Iff(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,t h e nf(x)i se q u a lto 1/...

    Text Solution

    |

  20. underset(n to oo)lim""underset(k=1)overset(n)sum(k^(1//a){n^(a-(1)/(a)...

    Text Solution

    |