Home
Class 12
MATHS
If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", ...

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

A

`pm2`

B

`-2`

C

2

D

4

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) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", if " x = 0 ):} is continuous at x = 0 , then k = …..

If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is continuous at x = 0 , then k = ….

If f(x) {:( =(sin pix)/(5x)", if " x!=0),(=k ", if " x = 0 ):} is continuous at x = 0 , then : k =

If f(x) = {((1-cosx)/x, ",", x != 0),(k, ",", x = 0):} is continuous at x = 0 then k =

If {(f(x) = 1-x), (for 0 lt x le 1),(= k , for x = 0)} is continuous at x = 0, then k =

If the function f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" k,"," when " x = 0):} is continuous at x = 0 then k = ?

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

f(x)={{:(sinx/x", " xne0),(k-1", " x=0):} is continuous at x = 0, then 'k' is :

If f(x) = (x-sin x)/x for x!= 0 , and f(x) = k , for x = 0 is continuous at x = 0 ,then k = ….

{:(f(x),=((3^(sin x)-1)^(2))/(xlog(1+x)),",",x != 0),(,=k, ",",x = 0):} if f is continouous at x = 0, then k =

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If f(x) {: (=x^(3)", if " x lt 1//2 ),(= ax^(2)", if " x ge 1...

    Text Solution

    |

  13. If f(x) {:(=x+1", if " x le 1 ),(= 3 + ax^(2)", if "x gt 1 ...

    Text Solution

    |

  14. If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...

    Text Solution

    |

  15. If f(x) {:(=3k", if "x le 1/2 ),(= 3/2-2x " , if...

    Text Solution

    |

  16. If f(x) {:(=3x-4", if " 0 le x le 2 ),(= 2x + k ", if "2lt x ...

    Text Solution

    |

  17. Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"fo...

    Text Solution

    |

  18. Given f(x) {:(=x^(2)+a", if "x le 0 ),(= 2 sqrt(...

    Text Solution

    |

  19. If f(x) {:( =(sin 4x)/(5x)+a", if " x gt 0 ),(=x + 4 - b ", ...

    Text Solution

    |

  20. If f(x) {:(=x+a", if " x lt 0 ),(= x ", if " 0 le x ...

    Text Solution

    |