Home
Class 12
MATHS
If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4,...

If `f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4, a+b \ \ \ if\ x=4, (x-4)/(|x-4|)+b ,\ \ \ if\ x >4` is continuous at `x=4` , find `a ,\ b` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

Iff(x)={(x-4)/(|x-4|)+a,ifx 4 is continuous at x=4find a,b

If f(x)={(x^2-16)/(x-4), if\ x!=4k\ ,if\ x=4 is continuous at x=4 , find kdot

Let f(x)={(x-4)/(|x-4|)+a ,x 4 Then f(x) is continous at x=4 when

Let f(x)={(x-4)/(|x-4|a+b)+a ,x 0 Then, f(x) is continuous at x=4 when (a) a=0,b=0 (b) a=1,b=1 (c) a=-1,b=1 (d) a=1,b=-1

If f(x)={(2^(x+2)-16)/(4^x-16),if x!=2k ,if f(x) is continuous a t x=2, find k

If f(x)={(2^(x+2)-16)/(4^x-16) , if x!=2 , k if x=2 is continuous at x=2 , find k

If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k, x=2):} is continuous at x=2 , find k .

Find the values of a and b sucht that the function f defined by f(x) = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

Find the values of a and b sucht that the function f defined by fx = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

What value must be assigned to k so that the function f(x)={(x^4-256)/(x-4),x!=4 and k ,x=4 is continuous at x=4.

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Determine the values of a ,\ b ,\ c for which the function f(x)={(si...

    Text Solution

    |

  2. If f(x)={(1-cosk x)/(xsinx),x!=0 \ \ \ \ \ \ \ \ 1/2,x=0 is continuo...

    Text Solution

    |

  3. If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4, a+b \ \ \ if\ x=4, (x-4...

    Text Solution

    |

  4. For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ ...

    Text Solution

    |

  5. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0 . Find the value of f at ...

    Text Solution

    |

  6. If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k, x=2):} is continuous at x=2 ...

    Text Solution

    |

  7. If f(x)={(cos^2x-sin^2x-1)/(sqrt(x^2+1)-1),\ \ \ x!=0 \ \ \ \ k, \ \ ...

    Text Solution

    |

  8. Extend the definition of the following by continuity f(x)=(1-cos7(x...

    Text Solution

    |

  9. If f(x)=(2x+3sinx)/(3x+2sinx) , x!=0 is continuous at x=0 , then find ...

    Text Solution

    |

  10. Find the values of k for which f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x...

    Text Solution

    |

  11. Find the value of the constant k so that the given function is ...

    Text Solution

    |

  12. Find the value of the constant k so that the given function is ...

    Text Solution

    |

  13. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  14. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  15. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  16. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  17. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  18. Find the value of the constant k so that the given function is c...

    Text Solution

    |

  19. Find the value of the constant k so that the given function is con...

    Text Solution

    |

  20. Find the values of a and b so that the function f given by f(x)={1, if...

    Text Solution

    |