Home
Class 12
MATHS
If f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >...

If `f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0` is continuous at `x=0,\ ` then find the value of `kdot`

Text Solution

AI Generated Solution

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^(2)sin((1)/(x^(2))),x!=0,k,x=0 is continuous at x=0, then the value of k is

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

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) = (sqrt(4 +x)-2)/(x) is continuous x=0 then the value of f(0) is

f(x)=[tan(pi/4+x)]^(1/x), x!=0 and f(x)=k, x=0 is continuous at x=0 then k=

If the function f(x)=((e^(kx)-1)tankx)/(4x^(2)),x ne 0 =16" "x=0 is continuous at x=0, then k= . . .

If {:(f(x),=((e^(kx)-1)^(2)sinx)/(x^(3)),",",x != 0),(,=4, ",",x = 0):} is continuous at x = 0, then k =

If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", if " x = 0 ):} is continuous at x = 0, then k = ….

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find t...

    Text Solution

    |

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

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. 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

    |

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

    Text Solution

    |

  17. ("lim")(xvecpi/2){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n a=1,b=1 (b) a=1...

    Text Solution

    |

  18. ("lim")(xvec0)(sinx^n)/((sinx)^m),(m<n),i se q u a lto 1 (b) 0 (c)...

    Text Solution

    |

  19. ("lim")(xvecoo)(1/e-x/(1+x))^xi se q u a lto e/(1-e) (b) 0 (c) e/...

    Text Solution

    |

  20. ("lim")(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto ...

    Text Solution

    |