Home
Class 12
MATHS
If f(x) = (sin [ 4(x-3)])/(x^(2)-9) , x ...

If `f(x) = (sin [ 4(x-3)])/(x^(2)-9) , x != 3, ` is continuous at x = 3 then f(3) = ….

A

1

B

2

C

`2/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 is continuous at x = 3 , then f(3) = ….

If f(x) = (sqrt(x+3)-2)/(x^(3)-1) , x != 1 , is continuous at x = 1, then f(1) is

f(x)={x+2,x 3, is continuous at x=3

f(x)={[4-3x,,x =0] , is continuous at x=0 then a=

If f (x) = (2x + 3 sin x )/(3x + 2 sin x ) , x ne 0 is continous at x = 0 then f (0) = ?

If the function f(x) {: (3 sin x - sin 3x)/(x^(3)), x != 0 , is continuous at the point x = 0 , then : f(0) =

If f(x)=(sin3x+Asin2x+Bsinx)/(x^(5)) for x!=0 is continuous at x=0 , then A+B+f(0) is

If f(x)=(x^(2)-9)/(x^(2)-2x-3),xne3 is continuous at x = 3, then which one of the following is correct?

If f(x)=(3^(x)+3^(-x)-2)/(x^(2)) for x ne 0 is continuous at x = 0, iff f(0) is equal to

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= ...

    Text Solution

    |

  2. f(x)={((5^(cosx)-1)/((pi)/(2)-x)",", x ne (pi)/(2)), (log 5"," , x =(p...

    Text Solution

    |

  3. If f(x) = (sin [ 4(x-3)])/(x^(2)-9) , x != 3, is continuous at x = 3 ...

    Text Solution

    |

  4. f(x) = {:((sqrt(x+3)-2)/(x^(3)-1)", if " x!=1),(=1/12", if " ...

    Text Solution

    |

  5. If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(...

    Text Solution

    |

  6. If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 is continuous at x = 3 ...

    Text Solution

    |

  7. Function f(x) = sqrt(9-x^(2)) is continuous in

    Text Solution

    |

  8. Function f(x) = (x-2)/(x^(2)-5x+6) is discontinuous at x = …..

    Text Solution

    |

  9. Function f(x) = 1/(2x^(2)+x+1) is

    Text Solution

    |

  10. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

    Text Solution

    |

  11. If f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", ...

    Text Solution

    |

  12. If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", ...

    Text Solution

    |

  13. If f(x) (10^(x)+7^(x)-14^(x)-5^(x))/(1-cos x), x != 0 is continuous ...

    Text Solution

    |

  14. If f(x) = {:(a^(2)sin^(2)x+e^(2) cos^(2)x", if " x le 0 ),(=e^(ax+b...

    Text Solution

    |

  15. Value of a so that f(x) = (sin^(2)ax)/(x^(2)), x != 0 and f(0) = 1 ...

    Text Solution

    |

  16. Value of f(0) so that f(x) = (sin(x^(2)+4x)-sin 4x)/(x tan x ) x !...

    Text Solution

    |

  17. At x = 0 , f(x) {:(=x-2", if " x lt 0 ),(= 1//2", if " x = 0...

    Text Solution

    |

  18. If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", ...

    Text Solution

    |

  19. Function f(x)={{:(2x-1", if "x le 1 ),(x^(2)", if "1 ...

    Text Solution

    |

  20. If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 )...

    Text Solution

    |