Home
Class 12
MATHS
Let : f(x) {:(=(1-cos 4x)/(x^(2))", ...

Let : f(x) ` {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ... " x = 0 ),(= (sqrt(x))/(sqrt(16-sqrt(x))-4)", ... "x gt 0 ):}`
If f(x) is continuous at x = 0 , then : a =

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
d
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-cos(10x))/(x^(2)) ", if " x lt 0 ),(= a ", if " x = 0 ),(=(sqrt(x))/(sqrt(625+sqrt(x))-25)", if " x gt 0 ):} is continuous at x = 0 , then a =

If f(x) is continuous at x=0 , where f(x)={:{((1-cos 4x)/(x^(2))", for " x lt 0),(k", for " x =0),((sqrt(x))/(sqrt(16+sqrt(x))-4)", for " x gt 0):} , then k=

Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sqrt(16+sqrt(x))-4))",",x gt 0):} Then, the value of a if possible, so that the function is continuous at x = 0, is……….

Let f(x)={[(1-cos4x)/(x^(2)), if x 0 continuous at x=0.

If f(x)={{:(,(sqrt(x+1)-1)/(sqrtx),"for "x ne 0),(,k, for x=0):} and f(x) is continuous at x=0, then the value of k is

Given f(x) {:(=x^(2)+a", if "x le 0 ),(= 2 sqrt(1+x^(2))+b ", if " x gt 0 ) :} and f(-1)=2 . If f is continuous at x = 0 , then (a,b) -= …..

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If f(x) f(x) = (log{(1+x)^(1+x)}-x)/(x^(2)), x != 0 , is continuous a...

    Text Solution

    |

  2. If the function f as defined below is continuous at x=0find the values...

    Text Solution

    |

  3. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

    Text Solution

    |

  4. The function (x^(3)-8)/(x^(2)-x-20) is continuous over the domain :

    Text Solution

    |

  5. The value of a and b such that the function f(x) {:{(-2 sin x", ...

    Text Solution

    |

  6. The value of lim(x to e) (log x^(2)-2)/(sqrt(x)-sqrt(e)) is

    Text Solution

    |

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

    Text Solution

    |

  8. If f(x) {: (=(x^(2)-2x-3)/(x-3)" , for " 0 le x le 4 ),(= (x^(2)-1)/(x...

    Text Solution

    |

  9. If the function f(x) {: (3 sin x - sin 3x)/(x^(3)), x != 0 , is co...

    Text Solution

    |

  10. If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : ...

    Text Solution

    |

  11. If f(0) = 2 , and f(x) = (1-cos kx)/(x.sin x) , x != 0 , is continuo...

    Text Solution

    |

  12. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

    Text Solution

    |

  13. If f(x) {:((3^(x+2)-81)/(9^(x)-9^(2)) ", ... "x != 2 ),(= k....

    Text Solution

    |

  14. If f(x)= {:(2x^(2)-3", ... if " x lt2 ),(5ax ", ... i...

    Text Solution

    |

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

    Text Solution

    |

  16. If f(x) {:(=(sin4x)/(5x)+a", if " x gt 0 ),( = 6x+4 -b...

    Text Solution

    |

  17. If f(x) =1/x for all x != 0 then : lim (x rarr 0 ) f((1-cos 5x)/x)=

    Text Solution

    |

  18. If f(x) {:(=(log (1-2x)-log(1-3x))/x", " x != 0 ),(=a", ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |