Home
Class 12
MATHS
Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ ...

Let `f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0` . Find the value of `f` at `x=0` so that `f` becomes continuous at `x=0` .

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

Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x 0 Determine the value of a so that f(x) is continuous at x=0.

if f(x)=x^2sin(1/x) , x!=0 then the value of the function f at x=0 so that the function is continuous at x=0

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

Let f(x)={(1-cos4x)/(x^2a,),ifx 0,ifx=0 Determine the value of a so that f(x) is continuous at x=0.

Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

Let f(x)={{:((log(1+ax)-log(1-bx))/x, x ne 0), (k,x=0):} . Find 'k' so that f(x) is continuous at x = 0.

if the function f(x) defined by f(x)= (log(1+a x)-"log"(1-b x))/x , if x!=0 and k if x=0 is continuous at x=0 , find k.

If the function f(x) defined by f(x)={(log(1+3x)-log(1-2x))/x\ \ \ ,\ \ \ x!=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \k ,\ \ \ \ \ \ \ x=0 is continuous at x=0 , then k= (a) 1 (b) 5 (c) -1 (d) none of these

If f(x)={e^(1//x),\ \ \ if\ x!=0 1,\ \ \ if\ x=0 . Find whether f is continuous at x=0

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4, a+b \ \ \ if\ x=4, (x-4...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 con...

    Text Solution

    |

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

    Text Solution

    |

  19. If f(x)={(x^2)/2, if 0<=x<1, 2x^2-3x+3/2, if1 <=x<=2 .Show that fis ...

    Text Solution

    |

  20. Discuss the continuity of the f(x) at the indicated point: f(x)=...

    Text Solution

    |