Home
Class 12
MATHS
The function f(x) = {[6.5, for x le 0],...

The function `f(x) = {[6.5, for x le 0],[2a + x, forx>0]:}`continuous at x = 0. Then what is value of a ?

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If f(x) =| x |, what is the value of f(0-)?

If a function f(x) is defined by f(x) = {((1+7x)^(1/x),when x!=0),(k,when x =0):} is continuous at x = 0, then what is the value of k.?

If a function f(x) = (x^2-4)/(x-2) is continuous at x = 2, then what is the value of f (2) ?

For what value of lamda is the function f(x)={{:(lamda(x^(2)-2x)", if "xle0),(4x+1", if "xgt0):} continuous at x=0 ? What about continuity at x=1 ?

If f(x) = {((1-cos4x)/x^2, when x 0):} . is continuous at x=0, then the value of a will be.

If the function f(x) = (sin 10x)/(x) is continuous at x = 0 then what is f(0)?

Is the function f defined by f(x)={(x", if "xle1),(5", if "xgt1):} continuous at x=0, at x=1 and at x=2 ?

For what value of k is the function defined by {(k(x^2+2),when xle0),(3x+1,whenx>0):} .Continuous at x = 0. Also write whether the function is continuous at x = 1.

If 'f(x)= {((1-cos4x)/(x^2)),whenx 0):} , and f is continuous at x=0, then find the value of k.

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If f(x)=( x^3+x^2-16x + 20)/(x-2)^2 if x!=2 = k if x = 2 is continuou...

    Text Solution

    |

  2. If f(x)=(1+2x)^(frac[1][x]),xne0 is continuous at x=0, then what is th...

    Text Solution

    |

  3. The function f(x) = {[6.5, for x le 0],[2a + x, forx>0]:}continuous a...

    Text Solution

    |

  4. The function f(x) ={[(x^3-3x+2)/(x^2-10^2,ifx!=1],[K,if x=1]:} is cont...

    Text Solution

    |

  5. If the function f(x) = (sin 10x)/(x) is continuous at x = 0 then what ...

    Text Solution

    |

  6. If f(x)={((x^3-8)/(x-2)),when x!=2),(k,whenx=2):} is continuous at x =...

    Text Solution

    |

  7. Discuss the continuity of f(x)={((x^2-25)/(x-5),when x!=5),(9,when x=5...

    Text Solution

    |

  8. Discuss the continuity of the function f(x)={(sin 3x)/(2x),whenx!=0),(...

    Text Solution

    |

  9. Show that the function f(x)={{:((e^(1//x)-1)/(e^(1//x)+1)", when "x!=0...

    Text Solution

    |

  10. Examine the continuity of the function f(x)={((1)/(x+[x]),ifx<0),(-1,i...

    Text Solution

    |

  11. Discuss the continuity of the function f(x)={:{((|x|)/(x)", if "x!=0...

    Text Solution

    |

  12. If a function is continuous at x=a, then find lim(hto0)+1/2{f(a+h)+f(a...

    Text Solution

    |

  13. Examine the continuity of f(x)= sin (pi(x))/2 at x = 0.

    Text Solution

    |

  14. Find the value of a such that the function f defined by f(x)={((sinax...

    Text Solution

    |

  15. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

    Text Solution

    |

  16. Show that sinx is continuous for every real x.

    Text Solution

    |

  17. For what value of k is the function defined by {(k(x^2+2),when xle0),(...

    Text Solution

    |

  18. Find the value of k if the function f(x) defined by f(x)={(2x-1,when x...

    Text Solution

    |

  19. For what value of lamda is the function f(x)={{:(lamda(x^(2)-2x)", i...

    Text Solution

    |

  20. Find the value of k, so that the function defined by f(x)={(kx+1", if...

    Text Solution

    |