Home
Class 12
MATHS
The value of a for which the function f...

The value of a for which the function `f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0` may be continuous at `x=0` is 1 (b) 2 (c) 3 (d) none of these

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

The value of k(k gt 0) for which the function f(x)=(e^x-1)^4/(sin(x^2//k^2) log {1+(x^2//2)}), x ne 0 , f(0) =8 may be continuous function is

Find the value of f(0) so that the function f(x)=1/24 (4^x-1)^3/(sin (x/4) log (1+x^2/3)(log 2)^3), x ne 0 is continuous in R is .

Determine f(0) so that the function f(x) defined by f(x)=((4^(x)-1)^(3))/(sin(x)/(4)log(1+(x^(2))/(3))) becomes continuous at x=0

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

If the function f(x) defined by f(x)=(log(1+3x)-log(1-2x))/(x),x!=0 and k

f(x)=((4^(x)-1)^(3))/(sin((x)/(p))log(1+(x^(2))/(3))) is continuous at x=0 and f(0)=12(ln4)^(3) then p=

If f(x)={{:(((5^(x)-1)^(3))/(sin((x)/(a))log(1+(x^(2))/(3)))",",x ne0),(9(log_(e)5)^(3)",",x=0):} is continuous at x=0 , then value of 'a' equals

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. The value of (lim)(x->pi/2)(int t\ dt)/(sin(2x-pi))integral from pi/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

  12. ("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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. ("lim")(xvecoo)(2sqrt(x)+3x3+4x4++n x n)/(sqrt((2x-3))+(2x-3)3++(2x-3)...

    Text Solution

    |

  17. The value of ("lim")(xvecoo)(cos"x"/"m")^("m") is 1 (b) e (c) e^(-1...

    Text Solution

    |

  18. If f(x)=("lim")(xvecoo)n(x^(1/n)-1),t h e nforx >0,y >0,f(x y) is equa...

    Text Solution

    |

  19. The value of ("lim")(xvec2)(2^x+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))i s ...

    Text Solution

    |

  20. ("lim")(xvecoo)"{"(n/(n+1))^(alpha)+s in1/n"]"^n(w h e nalpha in Q)i ...

    Text Solution

    |