Home
Class 12
MATHS
The value of f(0), so that the function ...

The value of `f(0),` so that the function `f(x)=((27-2x)^2-3)/(9-3(243+5x)^(1//5)-2)(x!=0)` is continuous, is given `2/3` (b) 6 (c) 2 (d) 4

A

`2/3`

B

`6`

C

`2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

The value of f(0), so that the function f(x)=((27-2x)^((1)/(3))-3)/(9-3(243+5x)^(1/5))(x!=0) is continuous,is given by (a) (2)/(3)(b)6(c)2(d)4

The value of f(0) so that the function f(x)=(2-(256-7x)^((1)/(8)))/((5x+32)^(1/5)-2),x!=0 is continuous everywhere,is given by -1( b) 1(c)26 (d) none of these

The value of f(0) such that the function f(x)=(root3(1+2x)-root4(1+x))/(x) is continuous at x = 0, is

Find the value of f(1) so that the function f(x)=((root(3)x^2-(2x^(1//3)-1)))/(4(x-1)^2), x ne 1 is continuous at x=1.

If f(x) is continuous at x=0 , where f(x)=((27-2x)^(1/3)-3)/(9-3(243+5x)^(1/5)) , for x!=0 then f(0)=

The value of f(0), so that the function f(x)=(sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^(2)))/(sqrt(a+x)-sqrt(a-x)) becomes continuous for all x, given by a^((3)/(2))( b) a^((1)/(2))(c)-a^((1)/(2))(d)-a^((3)/(2))

The function f(x)=((3^(x)-1)^(2))/(sin x*ln(1+x)),x!=0, is continuous at x=0, Then the value of f(0) is

TARGET PUBLICATION-CONTINUITY-Critical Thinking
  1. If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0, then the value o...

    Text Solution

    |

  2. If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x ...

    Text Solution

    |

  3. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

    Text Solution

    |

  4. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

    Text Solution

    |

  5. If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0, is continuous at x = 0...

    Text Solution

    |

  6. If the function f(x) = (cos^(2)x - sin^(2)x-1)/(sqrt(x^(2)+1)-1), x !=...

    Text Solution

    |

  7. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

    Text Solution

    |

  8. If f(x)=(3^(x)+3^(-x)-2)/(x^(2)) for x ne 0 is continuous at x = 0, i...

    Text Solution

    |

  9. If f(x) is continuous at x = 0, where {:(f(x),=(8^(x)-2^(x))/(k^(x)-1)...

    Text Solution

    |

  10. If f(x) is continuous at x=0, where f(x)=((e^(3x)-1)sin x^(@))/(x^(2))...

    Text Solution

    |

  11. If {:(f(x),=(e^(5x)-e^(2x))/(sin 3x),",",x != 0),(,=k/2, ",",x = 0):} ...

    Text Solution

    |

  12. If f(x) = (e^(x)-e^(sinx))/(2(x sinx)) , x != 0 is continuous at x = 0...

    Text Solution

    |

  13. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

    Text Solution

    |

  14. If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is...

    Text Solution

    |

  15. If {:(f(x),=(sec^2x)^(cot^2x),",",x != 0),(,=k, ",",x = 0):} is con...

    Text Solution

    |

  16. If f(x) is continuous at x = (pi)/2, where f(x) = (sinx)^(1/(pi-2x)), ...

    Text Solution

    |

  17. {:(f(x),=(log(1+kx))/(sin x),",",x != 0),(,=5, ",",x = 0):} If f is...

    Text Solution

    |

  18. If {:(f(x),=(logx-log7)/(x-7),",",x != 7),(,=k, ",",x = 7):} is con...

    Text Solution

    |

  19. If f(x) = {{:((log(1+2ax)-log(1-bx))/(x)",",x ne 0),(" "k",",...

    Text Solution

    |

  20. {:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x)),",",x != 0),(,=k, ",",x = 0):...

    Text Solution

    |