Home
Class 12
MATHS
If G(x) = -sqrt(25-x^(2)) the lim(x rarr...

If `G(x) = -sqrt(25-x^(2))` the `lim_(x rarr 1) (G(x)-G(1))/(x-1) = `

A

(1/24)

B

(1/5)

C

`1/sqrt24`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 1) (x^(2)-1)/(|x-1|) =

If g(x) = 1/sqrt(9+x^(2) then lim_(x rarr 4) ((g(x) - g(4))/(x-4) =

lim_(x rarr 1) (x^(18)-1)/(x^(6)-1) =

lim_(x rarr 0) (a^(x)-1)/(sqrt(1+x) -1) =

If G(x)=(1)/(sqrt(25-x^(2))) , then lim_(xto4)(G(x)-G(4))/(x-4) has the value :

lim_(x rarr -1) (x^(9)+1)/(x^(14)-1)=

lim_(x rarr oo)(1+4/(x-1))^(x+3) =

lim_(x rarr 0) (e^(1/x)-1)/(e^(1/x)+1) =

lim_(x rarr oo) ((x+6)/(x+1))^(x+4) =

lim_(x rarr 0) ((1+x)^(n)-1)/x is

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x-1)(tan(x^(2)-1))/(x-1) is equal to

    Text Solution

    |

  2. The value of lim(x rarr oo) (3^(x+1) - 5^(x+1))/(3^(x)-5^(x) is

    Text Solution

    |

  3. If G(x) = -sqrt(25-x^(2)) the lim(x rarr 1) (G(x)-G(1))/(x-1) =

    Text Solution

    |

  4. lim(n rarr oo) ((1)/(1-n^(2)) + (2)/(1-n^(2)) +…...+(n)/(1-n^(2))) is ...

    Text Solution

    |

  5. lim(x rarr oo) ((2 + x)^(40) (4 + x)^(5))/((2-x)^(45)) is :

    Text Solution

    |

  6. lim(x rarr oo) x^(n)/e^(x) = 0 (n is an integer) for

    Text Solution

    |

  7. If f(x) = sqrt((x-sinx)/(x+cos^(2)x)), then lim(x rarr oo) f(x) =

    Text Solution

    |

  8. lim(x rarr 0) {tan (pi/4+x)}^(1/x) =

    Text Solution

    |

  9. The value of lim(x rarr 0) ((1 + 5x^(2))/(1+3x^(2)))^(1//x^(2)) is :

    Text Solution

    |

  10. lim(x rarr 1) (sqrt(1 - cos 2 (x - 1)))/(x -1) :

    Text Solution

    |

  11. lim(x rarr 0) (sin (pi cos^(2)x))/(x^(2)) is equal to :

    Text Solution

    |

  12. Let f:R toR be such that f(1)=3 and f(1)=6. Then lim(xto0)(f(1+x)/(f(1...

    Text Solution

    |

  13. lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...

    Text Solution

    |

  14. lim(x rarr 0) (sqrt(1-cos 2x))/(sqrt(2)x) is :

    Text Solution

    |

  15. lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :

    Text Solution

    |

  16. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

    Text Solution

    |

  17. The value of lim(n rarr oo) (1 + 2^(4) + 3^(4) +…...+n^(4))/(n^(5)) - ...

    Text Solution

    |

  18. lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :

    Text Solution

    |

  19. The value of lim(x rarr 0) (int(0)^(x^(2))sec^(2)t dt)/(x sin x) is :

    Text Solution

    |

  20. lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...

    Text Solution

    |