Home
Class 12
MATHS
If f(x) {:( =((2^(x)-1)^(2))/(sin x.log...

If f(x) ` {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= 2 log 2", if " x = 0 " ) :}` then , at x = 0 the function f is

A

continuous

B

discontinuous

C

not defined

D

imaginary

Text Solution

Verified by Experts

The correct Answer is:
b
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

f(x)=((2^(x)-1)^(2))/(tan x log(1+x)),x!=0 and f(x)=2log2,x=0 at x=0 is:

If f(x) {:(=(log (1+3x )-log(1-2x))/x", if " x != 0 ),(=a", if " x =0 ):} is continuous at x = 0 , then a =

If f(x) ={((5^(x)-e^(x))/(sin 2x),",",x != 0),(1/2(log 5+1),",",x = 0):} , then

If f(x) {:(=(log (1-2x)-log(1-3x))/x", " x != 0 ),(=a", " x = 0 ):} is continuous at x = 0 , then : a =

If f(x)=(e^(2x)-(1+4x)^(1/2))/(ln(1-x^(2))) for x!=0, then f has

f(x)={(e^(x)-1)/(log(1+2x)),, if x!=0quad 7,quad if x=0 at x=0

If f(x) is continuous at x=0 , where f(x)={:{(((e^(x)-1)^(4))/(sin(x^(2)/k^(2))log(1+ x^(2)/(2)))", for " x!=0),(8", for " x=0):} , then k=

If f(x)=((8^(x)-1)^(2))/(sin x log (1+ x/4)) in [-1, 1] - {0} , then for removable discontinuity of f at x=0, f(0)=

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. f(x)= {:(tan(x^(2)-x)/x," if "x !=0),(=2 ," if " x=0):} at x=0, is

    Text Solution

    |

  2. f(x) {:((e^(5x)-e^(3x))/(sin2x)", if "x!=0),(=1", if "x=0):}} ...

    Text Solution

    |

  3. If f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |