Home
Class 11
MATHS
The vlaue of lim(xrarr16)(x^(1//4)-16^(1...

The vlaue of `lim_(xrarr16)(x^(1//4)-16^(1//4))/(x-16)`is

A

a)16

B

b)1/16

C

c)32

D

d)1/32

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 10

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos

  • MODEL QUESTION PAPERS-SET 12

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(xrarr4)(x^(5//2)-4^(5//2))/(x-4) is

underset(xrarr16)"lim"(x^(1/4)-(16)^(1/4))/(x-16)= ?

Evaluate : lim_(xrarr1)(x^(15)-1)/(x^(10)-1)

The value of lim_(xrarr0)(1-cos4x)/x^2 is

The value of lim_(xrarr0)(1-cos4x)/x^2 is

The value of lim_(xrarr0)(1-cosx)/x is

The value of lim_(xrarr0)(1-cos(x/3))/x^2'

Find the value of lim_(xrarr3)(sqrt(16x^(2)+112)-16)/(3x^(2)-15x+18)

Evaluate lim_(xrarr1)(x^(P+1)-(P+1)x+P)/((x+1)^2)

The value of lim_(xrarr4)((e^x-e^4)/(x-4)) is _______

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 11-EXERCISE
  1. x axis divides the line segment containing two endpoints (3, 6) and (2...

    Text Solution

    |

  2. The radius of the circle (p-1)x^2 + y^2 - x - py= 0 is

    Text Solution

    |

  3. The vlaue of lim(xrarr16)(x^(1//4)-16^(1//4))/(x-16)is

    Text Solution

    |

  4. If y=(1+x^2)/(1+x),then dy/dx at x=0 is

    Text Solution

    |

  5. A bag contains 5 red caps and 4 blue caps. The probability that two dr...

    Text Solution

    |

  6. The median of 1st 67 natural number is

    Text Solution

    |

  7. If A={x:-1lexle2},B={x:0lexle4}Find A-B.

    Text Solution

    |

  8. If f:fRrarrR^+defineed as f(x)=x^2,show that f is surjective.

    Text Solution

    |

  9. If cotalphacotbeta=3,show that (cos(alpha-beta))/(cos(alpha+beta))=2

    Text Solution

    |

  10. In /\ABCif1/(a+c)+1/(b+c)=3/(a+b+c),show that angleC=pi/3

    Text Solution

    |

  11. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

    Text Solution

    |

  12. show that ^nCr+^(n-1)C(r-1)+^(n-1)C(r-2)=^(n+1)Cr

    Text Solution

    |

  13. Find the middle term of the expansion of (P^2-1/P)^9

    Text Solution

    |

  14. Show that the sum of 4 + 12 + 20 + 28 + .... up to n the term is a squ...

    Text Solution

    |

  15. If the distance from- origin to- the straight line 3x + 5y + a = 0 is3...

    Text Solution

    |

  16. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

    Text Solution

    |

  17. If f(x)=x^5+x^3-2x+3,Prove that f'(1)+f'(-1)=4f(0).

    Text Solution

    |

  18. Evaluate :lim(xrarroo)(1+2+3+...+n)/n^2

    Text Solution

    |

  19. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

    Text Solution

    |

  20. For any two positive acute angles theta and phi if sin(theta+phi)=k s...

    Text Solution

    |