Home
Class 12
MATHS
Find the value of a for which the fol...

Find the value of a for which the following function is continuous at a given point. `f(x)={(1-cos4x)/(x^2),\ w h e r e\ x<0a ,\ w h e n\ x=0\ a t\ x=0(sqrt(x))/(sqrt((16+sqrt(x))-4)),\ w h e n\ x >0`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos

  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

Find the value of a for which the following function is continuous at a given point. f(x)={x+a ,\ x 3

Find the value of a for which the following function is continuous at a given point. f(x)={(x^2+3x-10)/(x^2+2x-15),\ w h e n\ x!=-5a ,\ w h e n\ x=-5

Find the value of a for which the following function is continuous at a given point. f(x)={(1-cosx)/x ,\ x!=0a ,\ x=0a t\ x=0

Find the value of a for which the following function is continuous at a given point. f(x)={(cos x)^(1/x),\ x!=0a ,\ x=0a t\ x=0

Find the value of a for which the following function is continuous at a given point. f(x)={xsin(1/x ),\ x!=0 and a ,\ x=0

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={(1-cos2kx)/(x^(2)),quad if x!=08,quad if x=0 at x=0

Find the values (s) of k so that the following function is continuous at x=0 f(x ) = {{:( (1- cos kx )/( x sin x ) , " if " x ne o),( 1/2, I f x=0):}

Determine the values of 'a' and 'b' such that the following function is continuous at x = 0 : f(x)={{:((x+sinx)/(sin(a+1)x)", if "-piltxlt0),(2", if "x=0),(2(e^(sinbx)-1)/(bx)", if "xgt0):} .

Find the left and right hand derivative of the following function at given point: f(x)=e^(-|x|)a t\ x=0

Find the value of the constant k so that the function given below is continuous at x=0 .f(x)={(1-cos2x)/(2x^(2)),quad x!=0quad k,quad x=0

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let (lim)(x->1)(x^6+1+5/3(x^4+x^2)-8/3(x^5+x))/(x^5+x+6x^3-4x^4-4x^2)=...

    Text Solution

    |

  2. Let lim(x->oo)xln(e(1+1/x)^(1-x)) equal m/n where m and n are relati...

    Text Solution

    |

  3. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  4. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  5. Find the value of a for which the following function is continuous a...

    Text Solution

    |

  6. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  7. Find the value of a for which the following function is continuous a...

    Text Solution

    |

  8. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  9. Find the value of a for which the following function is continuous a...

    Text Solution

    |

  10. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  11. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  12. If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4a+b ,\ \ \ if\ x=4(x-4)/(|x-4|)...

    Text Solution

    |

  13. If f(x) is continuous in (-oo, 6), where f(x)={: {(1+sin ((pi x)/(2))...

    Text Solution

    |

  14. The value of a and b such that the function f(x) {:{(-2 sin x", ...

    Text Solution

    |

  15. Value of f(0) so that f(x) = (log(1+bx)-log(1-ax))/x is continuous at...

    Text Solution

    |

  16. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  17. Let f(x)=lim(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)). then

    Text Solution

    |

  18. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)),x!=1,2 6,x=...

    Text Solution

    |

  19. If the function and the derivative of the function f(x) is everywhere ...

    Text Solution

    |

  20. If the function f(x)=(3x^2+a x+a+3)/(x^2+x-2) continuous at x=-2.find...

    Text Solution

    |