Home
Class 12
MATHS
If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t ...

If `f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n` discuss the continuity of `f(x),g(x),a n dfog(x)dot`

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

If f(x)=(x+1)/(x-1) and g(x)=(1)/(x-2), then discuss the continuity of f(x),g(x), and fog (x)

If f(x)=(x+3)/(x-3) and g(x)=(1)/(x-7), then discuss the continuity of f(x),g(x) and fog(x)

If f(x)=(x^(2)+1)/(x^(2)-1) and g(x)=tan x, then discuss the continuity of fog(x)

Discuss the continuity of f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n+1))

If f(x)=(a-x^n)^(1/n) then find f(f(x))

'f(x)=(7^(^^)(1+ln x))/(x^(^^)(ln7))t h e n

If f(x)=|x-2|a n dg(x)=f[f(x)],t h e ng^(prime)(x)= ______ for x>20

If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n d\ h(x)=2x^2-3, then find the values of (2fg+g-h)(1)\ a n d\ (2f+g-h)(1)dot

f(x)=(x^(n)-1)/(x-1),x!=1 and f(x)=n^(2),x=1 continuous at x=1 then the value of n

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of the following function f(x)={1,\ if\ x\ i ...

    Text Solution

    |

  2. Find the value of x where f(x)={x ,\ if\ x\ r a t ion a l1-x ,\ if\ x\...

    Text Solution

    |

  3. If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity ...

    Text Solution

    |

  4. Find the value of x in [1,3] where the function [x^2+1]([dot] represen...

    Text Solution

    |

  5. Discuss the continuity of f(x)=[tan^(-1)x]([dot] represents the greate...

    Text Solution

    |

  6. Discuss the continuity of f(x)={cot^(-1)x]({dot} represents the fracti...

    Text Solution

    |

  7. Discuss the continuity of f(x) in [0, 2], where f(x)=(lim)(n->oo)(s...

    Text Solution

    |

  8. Discuss the continuity of f(x)={x^2,xi sr a t ion a l-x^2,xi si r r a...

    Text Solution

    |

  9. If y=1/(t^2+t-2),w h e r et=1/(x-1), then find the number of points wh...

    Text Solution

    |

  10. Proved that: f(x)=[x\ if\ x in Q0\ if\ x !in Q\ is continuous only ...

    Text Solution

    |

  11. Proved that: f(x)=[x\ if\ x in Q-x\ if\ x !in Q\ is continuous only...

    Text Solution

    |

  12. Proved that: f(x)=[x\ if\ x in Q1-x\ if\ x !in Q\ is continuous onl...

    Text Solution

    |

  13. Find the left and right hand derivative of the following function a...

    Text Solution

    |

  14. Find the left and right hand derivative of the following function a...

    Text Solution

    |

  15. Find the left and right hand derivative of the following function a...

    Text Solution

    |

  16. If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):}...

    Text Solution

    |

  17. If f(x)={a x+b ,\ xlt=-1a x^3+x+2,\ x > -1 is differentiable for all...

    Text Solution

    |

  18. Find derivative of : f(x)=cos x+|cos x|a t x=pi/2

    Text Solution

    |

  19. The number of points at which the function, f (x)={{:(min {|x|"," x ...

    Text Solution

    |

  20. If incident ray from point (-3, 2) parallel to the axis of parabola...

    Text Solution

    |