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)={("sin"[x])/([x+1]),\ for\ x >0(cospi/2[x])/([x]),\ for\ x<0\ a t\ x=0,\ \ a ,\ a t\ x=0` where `[x]` denotes the greatest less than or equal to `xdot`

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)={(1-cos4x)/(x^2),\ w h e r e\ x 0

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)={xsin(1/x ),\ x!=0 and a ,\ 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)={(1-sinx)/(pi-2x),\ x!=pi/2a ,\ x=pi/2a t\ x=pi/2

Find the value of a for which the following function is continuous at a given point. f(x)={x+a ,\ if\ xlt=1 and 3-x^2if\ x >1a t\ x=1

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 value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2

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

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Find the value of a for which the following function is continuous a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Find all possible values of a and b so that f(x) is continuous for all...

    Text Solution

    |

  14. The function f(x) = [{:((6/5)^(tan 6x)/(tan 5x), if, 0 lt x lt pi/2),(...

    Text Solution

    |

  15. Suppose that f(x)=x^3-3x^2 and h(x) =[(f(x))/(x-3), x!=3 then K , ...

    Text Solution

    |

  16. Let yn(x)=x^2+(x^2)/(1+x^2)+(x^2)/(1+x^2)^2+...(x^2)/(1+x^2)^(n-1) and...

    Text Solution

    |

  17. Find the number ofpoints of discontinuity of the function f(x)-[5x]+ {...

    Text Solution

    |

  18. Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...

    Text Solution

    |

  19. Let [x] denote the greatest integer function & f(x) be defined in a ne...

    Text Solution

    |

  20. let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...

    Text Solution

    |