Home
Class 12
MATHS
For what value of k the following functi...

For what value of k the following function is continuous at `x=0` ?
`f(x)={{:((1-cos4x)/(8x^(2))", "x!=0),(k", "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

For what valueof K is the following function continuous at x = 2 ? f(x)={(2x+1,when x 2):}

Show that the function f(x)=2x-|x| is continuous at x=0 .

Find the value of k so that the function f is continuous at x=pi//2,f(x)={:{((kcosx)/(pi-2x)", if "x!=(pi)/(2)),(5", if "x=(pi)/(2)):}

Discuss the continuity of the following function at x=0 . f(x)={{:((x^(4)+2x^(3)+x^(2))/(tan^(-1)x)", if "x!=0),(0", if "x=0):}

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

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

Find the value of a, so that the function f(x) is defined by f(x)={{:((sin^(2)"ax")/(x^(2))", "x!=0),("1, "x=0):} may be continuous at x=0.

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. Find the relationship between a and b so that thefunction defined by f...

    Text Solution

    |

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

    Text Solution

    |

  3. For what value of k the following function is continuous at x=0 ? f(...

    Text Solution

    |

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

    Text Solution

    |

  5. Show that : sin^2x is continuous for everyreal value of x.

    Text Solution

    |

  6. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

    Text Solution

    |

  7. If 'f(x)= {((1-cos4x)/(x^2)),whenx<0),(k,whenx=0),(sqrtx/(sqrt(16+sqrt...

    Text Solution

    |

  8. Find the value of k so that the function f defined by f(x)={((kcos x)/...

    Text Solution

    |

  9. If the function f(x)={:{(3ax+b", if "xgt1),(11", if "x=1)...

    Text Solution

    |

  10. Find all points of discontinuity of f, where f is defined by f(x)={:{(...

    Text Solution

    |

  11. Find the derivative of tan^(-1)((cosx+sinx)/(cosx-sinx)) w.r.t. x.

    Text Solution

    |

  12. What is the derivative of e^(3logx) w.r.t.x?

    Text Solution

    |

  13. If u=t^2and v=sint^2then dv/du=.

    Text Solution

    |

  14. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

    Text Solution

    |

  15. Write the derivative of sinx with respect to cosx.

    Text Solution

    |

  16. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

    Text Solution

    |

  17. if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0.

    Text Solution

    |

  18. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  19. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  20. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...

    Text Solution

    |