Home
Class 12
MATHS
If f(x) is continuous at x=5, where f(x)...

If `f(x)` is continuous at `x=5`, where `f(x)=(sqrt(3+sqrt(4+x))-sqrt(6))/(x-5)`, for `x!=5`, then `f(5)=`

A

`(1)/(2sqrt(6))`

B

`(1)/(3sqrt(6))`

C

`(1)/(12sqrt(6))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous at x=0 , where f(x)=(sqrt(1+x)-root3(1+x))/(x) , for x!=0 , then f(0)=

If f(x) is continuous at x=4 , where f(x)=(x^(4)-64x)/(sqrt(x^(2)+9)-5) , for x!=4 , then f(4)=

If f(x) is continuous at x=sqrt(2) , where f(x)=(sqrt(3+2x)-(sqrt(2)+1))/(x^(2)-2) , for x!= sqrt(2) , then f(sqrt(2))=

If f(x) is continuous at x = pi , where f(x)=(sqrt(2+cos x)-1)/((pi-x)^(2))", for " x!= pi , then f(pi)=

If f(x) is continuous at x=a, where f(x) = (sqrt(x)-sqrt(a) + sqrt(x-a))/sqrt(x^(2) -a^(2)) , for x ne a , then f(a)=

If f(x) is continuous at x=2a , where f(x)=(sqrt(x)-sqrt(2a)+sqrt(x-2a))/(sqrt(x^(2)-4a^(2))) , for x!=2a , then f(2a)=

If f(x) is continuous at x=0 , where f(x)=((5^(x)-2^(x))x)/(cos 5x-cos 3x) , for x!=0 , then f(0)=

f(x)=sqrt(x-4-2sqrt(x-5))

If f(x) is continuous at x=0 , where f(x)=((4-3x)/(4+5x))^(1/x)", for " x!=0 , then f(0)=

If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)^(3))/(1-sin2x) ,for x!=(pi)/(4) then f((pi)/(4))=

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. Evaluate : ("lim")(xvec2a^+)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(x^2-4a^2)

    Text Solution

    |

  2. If f(x) is continuous at x=sqrt(2), where f(x)=(sqrt(3+2x)-(sqrt(2)+1)...

    Text Solution

    |

  3. If f(x) is continuous at x=5, where f(x)=(sqrt(3+sqrt(4+x))-sqrt(6))/(...

    Text Solution

    |

  4. If f(x) is continuous at x=0, where f(x)=sin x-cos x, for x!=0, then ...

    Text Solution

    |

  5. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

    Text Solution

    |

  6. If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...

    Text Solution

    |

  7. If f(x) is continuous at x=0 ,where f(x)=(sin(pi cos^(2)x))/(x^(2)) ,f...

    Text Solution

    |

  8. If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)...

    Text Solution

    |

  9. If f(x) is continuous at theta= pi/4, where f(theta)={:{((1-tan theta...

    Text Solution

    |

  10. The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi....

    Text Solution

    |

  11. If f(x) is continuous at x=pi/2, where f(x)=(cos x )/(sqrt(1-sinx)), ...

    Text Solution

    |

  12. If f(x) is continuous at x= pi/4, where f(x)=(cos x- sin x)/(cos 2x),...

    Text Solution

    |

  13. If f(x) is continuous at x= pi/4, where f(x)=(2-cosec^(2)x)/(cot x-1)...

    Text Solution

    |

  14. If f(x) is continuous at x=0, where f(x)=(sin(x^(2)-x))/(x), for x!=0...

    Text Solution

    |

  15. If f(x) is continuous at x=0, where f(x) = {:{((x cos x+3tan x)/(x^(2...

    Text Solution

    |

  16. If f(x) is continuous at x=0, where f(x)=(sin (a+x)-sin (a-x))/(tan (a...

    Text Solution

    |

  17. f:R->R is defined by f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0 and f ...

    Text Solution

    |

  18. If f(x) is continuous at x=0, where f(x)={:{((1-cos x)/(x)", for " x!...

    Text Solution

    |

  19. If f(x) is continuous at x=0, where f(x)={:{((1-cos k x)/(x^(2))", fo...

    Text Solution

    |

  20. If f(x) is continuous at x=0, where f(x)=(1-cos 3x)/( x tan x) for x ...

    Text Solution

    |