Home
Class 12
MATHS
lim(n->oo)(n^(alpha)sin^2n !)/(n+1), ...

`lim_(n->oo)(n^(alpha)sin^2n !)/(n+1), 0ltalphalt1`, is equal to :

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION - I)|39 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

lim_(n to oo) (n^(p) sin^(2)(n!))/(n +1) , 0 lt p lt 1 , is equal to-

lim_ (n rarr oo) (n ^ (alpha) sin ^ (2) n!) / (n + 1), 0

lim_(xrarr oo) (n^p sin^2(n!))/(n+1),0ltplt1 , is equal to

Evaluate: lim_(n rarr oo)(n^(p)sin^(2)(n!))/(n+1)

If 0 lt alpha lt beta then lim_(n to oo) (beta^(n) + alpha^(n))^((1)/(n)) is equal to

Let alpha=lim_(n->oo)((1^3-1^2)+(2^3-2^2)+.....+(n^3-n^2))/(n^4), then alpha is equal to :

FIITJEE-TIPS-NUMERICAL BASED QUESTIONS
  1. If alpha is a the absolute maximum value of the expression (3x^(2)+2x-...

    Text Solution

    |

  2. The value of (8sqrt2)/(pi)int(0)^(1)((1-x^(2))/(1+x^(2)))(dx)/(sqrt(1+...

    Text Solution

    |

  3. The value of lim(xrarr0)(16-16 cos (1-cos x))/(x^(4)) is

    Text Solution

    |

  4. The value of lim(xrarrpi//2)12 tan^(2)x[sqrt(6+3 sin x-2cos^(2)x)-sqrt...

    Text Solution

    |

  5. f(x)=sqrt(x-1)+sqrt(2-x)andg(x)=x^(2)+bx+c are two given functions suc...

    Text Solution

    |

  6. 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

    |

  7. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

    Text Solution

    |

  8. The value of f(0) so that the function f(x)=(1)/(x)-(1)/(sinx) is cont...

    Text Solution

    |

  9. Let f be a positive function. If I1 = int(1-k)^k x f[x(1-x)]\ dx and I...

    Text Solution

    |

  10. Find the area enclosed by the curves max(|x+y|,|x-y|)=1

    Text Solution

    |

  11. The number of points at which the function, f (x)={{:(min {|x|"," x ...

    Text Solution

    |

  12. f(x)=[x] and g(x)={{:(1",",x gt1),(2",", x le 1):}, (where [.] represe...

    Text Solution

    |

  13. underset(xto1)lim[cosec(pix)/(2)]^(1//(1-x)) (where [.] represents the...

    Text Solution

    |

  14. int(1)^(7)(log sqrt(x))/(log sqrt(8-x)+log sqrt(x))dx=

    Text Solution

    |

  15. Period of function 2^({x})+sin 2pix+3^({x//2)}+cos 2pix, (where {x} de...

    Text Solution

    |

  16. Let y=(a sin x+(b+c)cosx)e^(x+d) where a, b, c, d are parameters. The ...

    Text Solution

    |

  17. lim(n->oo)(n^(alpha)sin^2n !)/(n+1), 0ltalphalt1, is equal to :

    Text Solution

    |

  18. If f(x) ge 0 for all x in [0,10] and int(2)^(8) f(x)=0, then f(7) is

    Text Solution

    |

  19. The area of quadrilateral combined equation of whose sides are (x^(2...

    Text Solution

    |

  20. The number of points of non differentiability of y=|log|x|| are

    Text Solution

    |