Home
Class 12
MATHS
If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k...

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

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

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),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 ne 2 ),(k, if x = 2):} , is 'conti nuous' at x = 2 . then find 'k'.

If f(x)={((1-coskx)/(xsinx) ,, x!=0),(1/2 ,, x=0):} is continuous at x=0, find k

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

Find the value of k so that the function f(x) = {((2^(x+2) - 16)/(4^(x) - 16),"if",x ne 2),(" k","if",x = 2):} is continuous at x = 2.

If f(x)={{:((sqrt(x^(2)+5)-3)/(x+2)",",x ne-2),(k,","x=-2):} is continuous at x=-2 , then the value of k is

If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", " x= 1):}, is continuous at x=1,find the value of k.

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 c...

    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 con...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |