Home
Class 11
MATHS
Let L=lim(xto0)(a-sqrt(a^(2)-x^(2))-(x^(...

Let `L=lim_(xto0)(a-sqrt(a^(2)-x^(2))-(x^(2))/4)/(x^(4)),agt0`. If L is finite then

A

a=2

B

a=1

C

`L= 1/64`

D

`L= 1/32` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE|319 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

Similar Questions

Explore conceptually related problems

Let L=("lim")_(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i t e ,t h e n a=2 (b) a=1 L=1/(64) (d) L=1/(32)

Evaluate lim_(xto0)((ab)^(x)-a^(x)-b^(x)+1)/(x^(2))

Evaluate lim_(xto 0)(sin (picos^(2)x))/(x^(2))

Find lim_(xto0)(tan2x-sin2x)/(x^(3)) .

Evaluate lim_(xto 0)(a^(x)-b^(x))/x

lim_(xto0)(1-cos(x^(2)))/(x^(3)(4^(x)-1)) is equal to:

Evaluate lim_(xto0)(1+tan^(2)sqrt(x))^(1/(2x))

lim_(xto0)(e^(3x)-1)/(x) is :

Evaluate lim_(xto oo)sqrt((x-sinx)/(x+cos^(2)x))

Evaluate lim_(xto0)(int_(0)^(x^(2))cos^(2)tdt)/(x sin x)

MODERN PUBLICATION-PROBABILITY -EXERCISE
  1. lim(x rarr pi/2) [sin x] is :

    Text Solution

    |

  2. The value of lim(x rarr 0) (sin bx)/(sin ax) is equal to:

    Text Solution

    |

  3. lim(x rarr pi/2) (cotx-cos x)/(pi-2x)^3 equals :

    Text Solution

    |

  4. Let f(x)= (sqrt(x+3))/(x+1), then the value of lim(x rarr -3^-) f(x) i...

    Text Solution

    |

  5. Let alpha and beta be the roots of ax^2 + bx +c =0, then underset(x to...

    Text Solution

    |

  6. If f (9) = 9, f '(9) = 1, then lim(x rarr 9) (8-sqrt(f(x)))/(3-sqrtx) ...

    Text Solution

    |

  7. lim(n rarr oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n)) =

    Text Solution

    |

  8. Discuss the continuity of the function f(x) = underset(n rarr oo)(lim)...

    Text Solution

    |

  9. lim(x rarr 0) (e^(x^2)-cosx)/x^2 =

    Text Solution

    |

  10. The value of lim(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtb) is

    Text Solution

    |

  11. Events A, B, C are mutually exclusive events such that P (A) = (3x+1)/...

    Text Solution

    |

  12. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  13. If three distinct number are chosen randomly from the first 100 natura...

    Text Solution

    |

  14. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  15. Two aeroplanes I and II bomb a target in successions. The probabilitie...

    Text Solution

    |

  16. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. ...

    Text Solution

    |

  17. Let L=lim(xto0)(a-sqrt(a^(2)-x^(2))-(x^(2))/4)/(x^(4)),agt0. If L is f...

    Text Solution

    |

  18. If the mean deviation about the median of the numbers: a, 2a,.......,...

    Text Solution

    |

  19. Let f: R rarr [10,oo) be such that lim(x rarr 5)f(x) exists and lim(x...

    Text Solution

    |

  20. A scientist is weighting each of 30 fishes. Their mean weight worked o...

    Text Solution

    |