Home
Class 12
MATHS
Discuss the continuity of the function f...

Discuss the continuity of the function `f(x)={(sin 3x)/(2x),whenx!=0),(3/2,when x=0):}`.at x=0

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

Discuss the continuity of the function f(x)=sin x-cos x .

Discuss the continuity of, the function f(x){:{((x)/(|x|+2x^(2))", "x!=0),(2", "x=0):} at x=0 .

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

Examine the continuity of the function f(x)={{:((|sinx|)/(x)", "x!=0),(1", "x=0):} at x=0

Examine the continuity of the following function f(x)={{:((x)/(2|x|)", "x!=0),((1)/(2)", "x=0):} at x=0.

Examine the continuity of the function f (x)={((1)/(x+[x]),ifx<0),(-1,if xge0):} at x=0.

Examine the continuity of a function f(x)={{:(|x|"cos"(1)/(x)", if "x!=0),(0", if "x=0):} at x=0 .

Examine the continuity of function f(x)=5x-3 at x=-3

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

Discuss the continuity of the function f(x)={{:((x^(2)-x-6)/(x+2)", if "x!=-2),(-5", if "x=-2):}" at "x=-2 .

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If f(x)={((x^3-8)/(x-2)),when x!=2),(k,whenx=2):} is continuous at x =...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Examine the contiunity of the following functions at the indicated poi...

    Text Solution

    |

  17. Examine the continuity of the function f defined by f(x)={[2x+1if x<1]...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the relationship between a and b so that thefunction defined by f...

    Text Solution

    |

  20. Find the value of a and b if the function given below is continuous. ...

    Text Solution

    |