Home
Class 12
MATHS
If underset(x to 0)lim""(x^(n)sin^(n)x)/...

If `underset(x to 0)lim""(x^(n)sin^(n)x)/(x^(n)-sin^(n)x)` is non-zero finite, then n equals :

A

1

B

2

C

3

D

n

Text Solution

Verified by Experts

The correct Answer is:
B
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 :

int(cos^(n-1)x)/(sin^(n+1)x)dx, n ne 0 is

int(cos^(n-1)x)/(sin^(n+1)x)dx,n ne 0 is :

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

If the real valued function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is even then n equals

If y=sin^(n)x cos n x, then (dy)/(dx) is

The fourth term in binomial expansion of (x^(2)-(1)/(x^(3)))^(n) in independent of x, when n is equal to:

lim_(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0 , where n is non-zero positive integer, tehn a is equal to :

The coefficients of x^(-n) in (1+x)^(n)(1+(1)/(x))^(n) is

MODERN PUBLICATION-UNIT TEST PAPER NO. 5 (CALCULUS)-Select the correct answer
  1. If underset(x to 0)lim""(x^(n)sin^(n)x)/(x^(n)-sin^(n)x) is non-zero f...

    Text Solution

    |

  2. lim(x-gt0)((1+x)^(1/ x)-e+(e x)/2)/(x^2)

    Text Solution

    |

  3. int x^(2)sec x^(3)dx

    Text Solution

    |

  4. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  5. int x^(x)(1+logx)dx equals :

    Text Solution

    |

  6. The value of int (cos^3x+cos^5)/(sin^2x+sin^5x)dx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |