Home
Class 12
MATHS
If f(x) = (x-sin x)/x for x!= 0 , and f...

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

A

`-1`

B

0

C

1

D

2

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

If f(x) {:( =(sin pix)/(5x)", if " x!=0),(=k ", if " 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) defined by {:(f(x),=x (sin)1/x,",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0, then k =

IF the function f(x) defined by f(x) = x sin ""(1)/(x) for x ne 0 =K for x =0 is continuous at x=0 , then k=

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

f(x)=[tan(pi/4+x)]^(1/x), x!=0 and f(x)=k, x=0 is continuous at x=0 then k=

Let f(x)=((e^(kx)-1)*sin Kx)/(x^(2)) for x!=0;=4, for x=0 is continuous at x=0 then k

if f(x)=(cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1),x!=0 and f(x)=k,x=0 is continuous at x=0 then k=

If f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0):} is continuous at x = 0, then the value of k will be

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

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. The value of f(0), if f(x)=(x tan 2x)/(sin3x sin5x) is continuous at ...

    Text Solution

    |

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

    Text Solution

    |

  3. If f(x) = (x-sin x)/x for x!= 0 , and f(x) = k , for x = 0 is continu...

    Text Solution

    |

  4. Value of f(0) so that f(x) = (cos 2x-1)/(sqrt(x^(2)+1)-1) is continuo...

    Text Solution

    |

  5. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  6. Value of f(0) so that f(x) = [ ((1+x)^(5))/((1+2x))]^(1//x) is conti...

    Text Solution

    |

  7. Value of f(0) so that f(x) = (log(1+bx)-log(1-ax))/x is continuous at...

    Text Solution

    |

  8. Value of f(0) so that f(x) = (a^(x)-1)/(1-b^(x)) is continuous at x ...

    Text Solution

    |

  9. If f(x) = (a^(mx)-1)/(sinmx) is continuous at x = 0 , then m is

    Text Solution

    |

  10. If f(x) = ((e^(mx)-1)sin mx)/(4x^(2)), x !=0 and f(0) = 9 ,is contin...

    Text Solution

    |

  11. If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is con...

    Text Solution

    |

  12. Value of f(2) so that f(x) = (3^(x+2)-81)/(9^(x)-9^(2)) is continuous ...

    Text Solution

    |

  13. f(x) {:(=(x cosx+3tanx)/(x^(2)+sinx), " if "x!=0),(=4," if " x=0):}} ...

    Text Solution

    |

  14. f(x)= {:(tan(x^(2)-x)/x," if "x !=0),(=2 ," if " x=0):} at x=0, is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |