Home
Class 12
MATHS
Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ ...

Let `f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0` f(x) is continuous , then find the value of `kdot`

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

let f(x)=(ae^(|sin x|)-b cos x-|x|)/(x^(2)) if f(x) is continuous at x=0 then find the values of a and b

Let f(x)=(e^(x)x cos x-x log_(e)(1+x)-x)/(x^(2)),x!=0 If f(x) is continuous at x=0, then f(0) is equal to

Let f (x = {{: ((x^(2) - 4x + 3)/(x^(2) + 2x - 3), x ne 1),(k, x = 1):} If f (x) is continuous at x= 1, then the value of k will be

If f(x)={(sin^(-1)x)/x\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , write the value of kdot

If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , find kdot

If f(x)=(2x+3sin x)/(3x+2sin x),x!=0 is continuous at x=0, then find f(0)

If f(x)=(2x+3sin x)/(3x+2sin x),x!=0 is continuous at x=0, then find f(0)

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Let f(x)=(1-tan x)/(4x-pi),x!=(pi)/(4),x in[0,(pi)/(2)], If f(x) is continuous in [0,(pi)/(4)], then find the value of f((pi)/(4))

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. lim(n->oo)prod(r=3)^n(r^3-8)/(r^3+8)

    Text Solution

    |

  2. If [x] denotes the greatest integer less than or equal to x , then eva...

    Text Solution

    |

  3. Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is cont...

    Text Solution

    |

  4. f(x)=[(sin x+sin5x)/(cos x+cos5x)\ \ if\ x!=-pi/4,k\ if\ x=-pi/4 is co...

    Text Solution

    |

  5. If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find t...

    Text Solution

    |

  6. What kind of discontinuity the function (cosx)/x h a s\ \ a t\ x=0.

    Text Solution

    |

  7. If f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0 is c...

    Text Solution

    |

  8. Let f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0, if"x"="1"} . Then which one ...

    Text Solution

    |

  9. (lim)(x->1)(1-x)tan((pix)/2)\ a. pi/2 b. pi c. 2/pi d. 0

    Text Solution

    |

  10. The value of (lim)(x->pi/2)(int t\ dt)/(sin(2x-pi))integral from pi/...

    Text Solution

    |

  11. The (lim)(x->0)(cos x)^(cotx) is -1 b. 1 c. 0 d. none of these

    Text Solution

    |

  12. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

    Text Solution

    |

  13. The function f(x)=[x^2] (where [y] is the greatest integer less tha...

    Text Solution

    |

  14. If f(x)={x e^(-(1/(|x|)+1/x)),\ x!=0 , 0,\ x=0,\ t h e n\ f(x) is a. C...

    Text Solution

    |

  15. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |

  16. The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiab...

    Text Solution

    |

  17. Let f"":""RvecR be a function defined by f(x)""=""M in""{x""+""1,""...

    Text Solution

    |

  18. The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...

    Text Solution

    |

  19. If f'(x)=g(x) and g'(x)=-f(x) for all x and f(2)=4=f'(2) then f^(2)(4)...

    Text Solution

    |

  20. ("lim")(xvec0)(x^asin^b x)/(sin(x^c)),w h e r ea , b , c in R ~{0},e ...

    Text Solution

    |