Home
Class 14
MATHS
If F(x)=sqrt(9-x^(2)) then what is lim...

If `F(x)=sqrt(9-x^(2))` then what is `lim_(xto1)(f(x)-F(1))/(x-1)` equal to :

A

`-(1)/(4sqrt(2))`

B

`(1)/(8)`

C

`-(1)/(2sqrt(2))`

D

`(1)/(2sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |43 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    PUNEET DOGRA|Exercise PREV YEAR QUESTION|35 Videos

  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If F(x)=sqrt(9-x^(2)), then what is lim_(x rarr1)(F(x)-F(1))/(x-1) equal to

If f(x )=sqrt(25-x^(2)) , then what is lim_(x to 1) (f(x)-f(1))/(x-1) equal to

If f(x)=sqet(25-x^(2)) , then what is Lim_(x to 1) (f(x)-f(1))/(x-1) equal to?

If f(x)=-sqrt(25-x^(2)) then find lim_(x rarr1)(f(x)-f(1))/(x-1)

PUNEET DOGRA-LIMIT-PREV YEAR QUESTIONS
  1. If x^(2)-6x-27gt0, then which one of the following is correct ?

    Text Solution

    |

  2. What is lim(xto0)(e^(x)-(1+x))/(x^(2)) equal to ?

    Text Solution

    |

  3. If F(x)=sqrt(9-x^(2)) then what is lim(xto1)(f(x)-F(1))/(x-1) equal...

    Text Solution

    |

  4. verify the statement true or false.If underset(x to a) lim [f(x) g(x...

    Text Solution

    |

  5. If f(x) = [x] - [x/4], x in R where [x] denotes the greatest integer f...

    Text Solution

    |

  6. simplify

    Text Solution

    |

  7. What is lim(xto0)e^((1)/(X^(2))) equal to ?

    Text Solution

    |

  8. If lim(xto0)phi(x)=a^(2) . where ane0. then what is lim(xto0)((x)/(a...

    Text Solution

    |

  9. If f(x)=sqrt(25-x^(2)) then what is lim(xto1)(f(x)-f(1))/(x-1)equa...

    Text Solution

    |

  10. If f(x)=(sin(e^(x-2)-1))/(In(x-1)) then lim(xto2)(x) is equal to ?

    Text Solution

    |

  11. If G(x)=sqrt(25-x^(2)) then what is lim(xto1)(G(x)-G(1))/(x-1) equ...

    Text Solution

    |

  12. What is lim(x to 2)(x+2) ?

    Text Solution

    |

  13. Given that lim(xtooo)((2+x^(2))/(1+x)-Ax-B)=3 What is the valu...

    Text Solution

    |

  14. What is lim(xto0)(log(5)(1+x))/(x) equal to ?

    Text Solution

    |

  15. What is lim(xto0)(5^(x)-1)/(x) equal to ?

    Text Solution

    |

  16. What is lim(ntooo)(1+2+3+......+n)/(1^(2)+2^(2)+3^(3)+.....+n^(2)) eq...

    Text Solution

    |

  17. If f(9)=9andf′ (9)=4 then what is lim(xto9)(sqrt(f(x))-3)/(sqrt(x)-...

    Text Solution

    |

  18. What is lim(xto0)((1+x)^(n)-1)/(x) equal to ?

    Text Solution

    |

  19. lim(xtooo)(2^(x)-1)/(sqrt(1+x)-1) equal to ?

    Text Solution

    |

  20. What is lim(xto2)(2-x)/(x^(3)-8) equal to ?

    Text Solution

    |